Home / 792.32-1,187.76-407.20

Finding the Fourth Proportional to 792.32, 1,187.76 and 407.20

Calculator

Solution

The fourth proportional to 792.32, 1,187.76 and 407.20 is: 610.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.32 : 1,187.76 = 407.20 : x
  2. Step 2: Convert to fraction form
    792.32/1,187.76 = 407.20/x
  3. Step 3: Cross multiply
    792.32x = 1,187.76 × 407.20
  4. Step 4: Simplify right side
    792.32x = 483,655.87
  5. Step 5: Solve for x
    x = 483,655.87/792.32
  6. Step 6: Final answer
    x = 610.43

Related Problems

Find fourth proportional to 396.16, 593.88 and 203.60
Half scale
Find fourth proportional to 1,584.64, 2,375.52 and 814.40
Double scale
Find fourth proportional to 793.32, 1,189.26 and 408.20
Similar ratio
Find fourth proportional to 1,188.48, 1,781.64 and 610.80
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.