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Finding the Fourth Proportional to 640.71, 883.17 and 474.66

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Solution

The fourth proportional to 640.71, 883.17 and 474.66 is: 654.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.71 : 883.17 = 474.66 : x
  2. Step 2: Convert to fraction form
    640.71/883.17 = 474.66/x
  3. Step 3: Cross multiply
    640.71x = 883.17 × 474.66
  4. Step 4: Simplify right side
    640.71x = 419,205.47
  5. Step 5: Solve for x
    x = 419,205.47/640.71
  6. Step 6: Final answer
    x = 654.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.