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Finding the Fourth Proportional to 622.62, 932.85 and 458.46

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Solution

The fourth proportional to 622.62, 932.85 and 458.46 is: 686.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.62 : 932.85 = 458.46 : x
  2. Step 2: Convert to fraction form
    622.62/932.85 = 458.46/x
  3. Step 3: Cross multiply
    622.62x = 932.85 × 458.46
  4. Step 4: Simplify right side
    622.62x = 427,674.41
  5. Step 5: Solve for x
    x = 427,674.41/622.62
  6. Step 6: Final answer
    x = 686.89

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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.