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Finding the Fourth Proportional to 560.20, 772.18 and 363.40

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Solution

The fourth proportional to 560.20, 772.18 and 363.40 is: 500.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.20 : 772.18 = 363.40 : x
  2. Step 2: Convert to fraction form
    560.20/772.18 = 363.40/x
  3. Step 3: Cross multiply
    560.20x = 772.18 × 363.40
  4. Step 4: Simplify right side
    560.20x = 280,610.21
  5. Step 5: Solve for x
    x = 280,610.21/560.20
  6. Step 6: Final answer
    x = 500.91

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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.