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Finding the Fourth Proportional to 622.38, 932.94 and 405.66

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Solution

The fourth proportional to 622.38, 932.94 and 405.66 is: 608.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.38 : 932.94 = 405.66 : x
  2. Step 2: Convert to fraction form
    622.38/932.94 = 405.66/x
  3. Step 3: Cross multiply
    622.38x = 932.94 × 405.66
  4. Step 4: Simplify right side
    622.38x = 378,456.44
  5. Step 5: Solve for x
    x = 378,456.44/622.38
  6. Step 6: Final answer
    x = 608.08

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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.