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Finding the Fourth Proportional to 622.76, 932.92 and 478.17

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Solution

The fourth proportional to 622.76, 932.92 and 478.17 is: 716.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.76 : 932.92 = 478.17 : x
  2. Step 2: Convert to fraction form
    622.76/932.92 = 478.17/x
  3. Step 3: Cross multiply
    622.76x = 932.92 × 478.17
  4. Step 4: Simplify right side
    622.76x = 446,093.16
  5. Step 5: Solve for x
    x = 446,093.16/622.76
  6. Step 6: Final answer
    x = 716.32

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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.