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Finding the Fourth Proportional to 773.28, 1,066.68 and 462.60

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Solution

The fourth proportional to 773.28, 1,066.68 and 462.60 is: 638.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.28 : 1,066.68 = 462.60 : x
  2. Step 2: Convert to fraction form
    773.28/1,066.68 = 462.60/x
  3. Step 3: Cross multiply
    773.28x = 1,066.68 × 462.60
  4. Step 4: Simplify right side
    773.28x = 493,446.17
  5. Step 5: Solve for x
    x = 493,446.17/773.28
  6. Step 6: Final answer
    x = 638.12

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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.