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Finding the Fourth Proportional to 629.71, 938.82 and 613.73

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Solution

The fourth proportional to 629.71, 938.82 and 613.73 is: 914.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.71 : 938.82 = 613.73 : x
  2. Step 2: Convert to fraction form
    629.71/938.82 = 613.73/x
  3. Step 3: Cross multiply
    629.71x = 938.82 × 613.73
  4. Step 4: Simplify right side
    629.71x = 576,174.24
  5. Step 5: Solve for x
    x = 576,174.24/629.71
  6. Step 6: Final answer
    x = 914.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.