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Finding the Fourth Proportional to 629.73, 945.14 and 502.29

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Solution

The fourth proportional to 629.73, 945.14 and 502.29 is: 753.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.73 : 945.14 = 502.29 : x
  2. Step 2: Convert to fraction form
    629.73/945.14 = 502.29/x
  3. Step 3: Cross multiply
    629.73x = 945.14 × 502.29
  4. Step 4: Simplify right side
    629.73x = 474,731.86
  5. Step 5: Solve for x
    x = 474,731.86/629.73
  6. Step 6: Final answer
    x = 753.87

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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.