Frequency aside, there's also the subject matter of your blog posts. If a page on your site targets certain keywords, and you have lots of blog posts about them as well, it seems logical that Google will look more favourably on that inner page. After all, you've shown the search engine that you have lots of expertise in this area. (Of course you can't say this for certain, and there is some disagreement about this in SEO circles, like there is on so many subjects related to the discipline.)
That said, I'm pretty confident that this effect does apply. Here's a case in point:
Recently, I built a site to help small and home businesses in Perth. Just one of several pages listed flyer distribution services. I did some link building to the main domain, and to one inner page on the site. And there was an internal link between the flyer distribution page and the home page that I had right from the start. But other than that I did nothing.
Anyway, after a couple of months that particular page was at the bottom of Google's second page for "Perth flyer distribution". It stayed there for a while.
In the last several weeks I wrote a couple of blog posts about flyer distribution, listing them under the blog category "flyers". Since they have been indexed the separate page listing the service has crept up onto the bottom half of page one. I have had a few calls as a result.
Now, maybe it would have ended up there anyway. But in the whole time this rise happened I've done no link building to that page from other sites. And I've done none to the main domain either aside from creating Twitter and Facebook page accounts (but they were very recent , and I can't find them in Google yet). So, it seems very likely that this recent rise has resulted in major part from those blog posts being indexed.
So, the obvious takeway lesson is to keep writing in your blog about keywords you're targeting in your main pages. You'll get some long tail keyword search traffic to those posts anyway. And they seem to give the other pages a bit of an SEO boost as well.