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Finding the Fourth Proportional to 622.26, 932.60 and 615.76

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Solution

The fourth proportional to 622.26, 932.60 and 615.76 is: 922.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.26 : 932.60 = 615.76 : x
  2. Step 2: Convert to fraction form
    622.26/932.60 = 615.76/x
  3. Step 3: Cross multiply
    622.26x = 932.60 × 615.76
  4. Step 4: Simplify right side
    622.26x = 574,257.78
  5. Step 5: Solve for x
    x = 574,257.78/622.26
  6. Step 6: Final answer
    x = 922.86

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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.