You're asking how much power does it take to match the PS4? Well exactly the same hardware. Difference is that there's less overhead on consoles than on PC's so you can do more with less.
Pretty much that, though results will vary dramatically.
BF4 is a good example of something that is probably hamstrung by the slow CPUs in the consoles. After all, a 7790 on a desktop (rough equal to XB1 GPU) can do 1080p pretty well with most things on high (same settings as consoles really). But we're talking i5s, i7s, FX 6xxx/8xxx to hit that level of performance.
OTOH, things that are much less CPU bound (Ryse, Forza)
definitely look better than a 7790 would on a PC.
The problem really is that it's apples/oranges, and no set rule will work, because each game will be different.
It's all sort of moot anyway, as the long-awaited process tech changeovers happen during the next 12-24 months, we'll see entry-level GPUs that make 7790/7850 look fairly embarrassing on the PC side of things, and we'll also see gradual improvements of usage of the console abilities. I don't think the growth will be quite the same this time around though.
When 360/PS3 came about, their architectures took
quite some time for the devs to really get their heads around (Cell, Tri-Core, IBM Power, eSRAM, yadda), while this time around things are
much less .. obscure in terms of design. I don't really expect to be wowed by improvements over the course of these consoles lifetimes, what we see is pretty much what we'll get. And in my book, it's certainly enough power not to be a big deal. A good game will be a good game regardless. I know we all wanted a little more from this gen, but it could have been a lot worse.