Finding the Fourth Proportional to 996, 1,494 and 312
Calculator
Solution
The fourth proportional to 996, 1,494 and 312 is: 468
Step by Step Solution
- Step 1: Write the proportion equation
996 : 1,494 = 312 : x - Step 2: Convert to fraction form
996/1,494 = 312/x - Step 3: Cross multiply
996x = 1,494 × 312 - Step 4: Simplify right side
996x = 466,128 - Step 5: Solve for x
x = 466,128/996 - Step 6: Final answer
x = 468
Related Problems
Find fourth proportional to 498, 747 and 156
Half scale
Find fourth proportional to 1,992, 2,988 and 624
Double scale
Find fourth proportional to 997, 1,495.50 and 313
Similar ratio
Find fourth proportional to 1,494, 2,241 and 468
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.