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Finding the Fourth Proportional to 622.11, 932.77 and 329.42

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Solution

The fourth proportional to 622.11, 932.77 and 329.42 is: 493.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.11 : 932.77 = 329.42 : x
  2. Step 2: Convert to fraction form
    622.11/932.77 = 329.42/x
  3. Step 3: Cross multiply
    622.11x = 932.77 × 329.42
  4. Step 4: Simplify right side
    622.11x = 307,272.67
  5. Step 5: Solve for x
    x = 307,272.67/622.11
  6. Step 6: Final answer
    x = 493.92

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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.