Relevance determines how well your business fits the search content of the customer. if your keywords are similar to the keywords entered by the customer then your business page will be listed first in the page search

Distance is a well-known factor for ranking your businesses. You can’t rank in a local search for (dentist New Jersey) when you have located your company in Delhi. In this way Google determines which businesses to show in a local search is unknown, and it can be pretty hard to rank in a given area. 

Prominence is all about the activity around your listing; this could be the number of reviews, events, local content . It also helps if you can get loads of quality links to your site. It is somewhat hard to determine what prominence means exactly, but one thing is sure: no one likes dead profiles. You have to keep it updated with new photos and manage your reviews.