Illustrator :: Photoshop Elements Drawing Much Smaller When Opened

I've made a sketch in Photoshop Elements. The resolution was 743 by 663 pixels. I'm wanting to finish this in Illustrator, but when I open the same file (I have tried both PNG and PSD so far with the same results) in Illustrator, the image is extremely small, yet it says it is zoomed in 100%. In order for me to draw on this, it needs to be the same size that it looked like when it was opened in Photoshop. I understand the image is not actually resized, but the scale makes it appear smaller. And I also understand that illustrator's "pixels" measurments are incorrect (or so I have been told and observed).

I attempted simply rescaling the image myself with the select tool, but unfortunately I lose resolution and some of my sketch lines when I do this.

I'm not a master at any of these programs, so if you have an answer to how I could get the image scale to be "normal,".