Home / 690-952.20-414

Finding the Fourth Proportional to 690, 952.20 and 414

Calculator

Solution

The fourth proportional to 690, 952.20 and 414 is: 571.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    690 : 952.20 = 414 : x
  2. Step 2: Convert to fraction form
    690/952.20 = 414/x
  3. Step 3: Cross multiply
    690x = 952.20 × 414
  4. Step 4: Simplify right side
    690x = 394,210.80
  5. Step 5: Solve for x
    x = 394,210.80/690
  6. Step 6: Final answer
    x = 571.32

Related Problems

Find fourth proportional to 345, 476.10 and 207
Half scale
Find fourth proportional to 1,380, 1,904.40 and 828
Double scale
Find fourth proportional to 691, 953.58 and 415
Similar ratio
Find fourth proportional to 1,035, 1,428.30 and 621
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.