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Finding the Fourth Proportional to 502.71, 694.68 and 452.89

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Solution

The fourth proportional to 502.71, 694.68 and 452.89 is: 625.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.71 : 694.68 = 452.89 : x
  2. Step 2: Convert to fraction form
    502.71/694.68 = 452.89/x
  3. Step 3: Cross multiply
    502.71x = 694.68 × 452.89
  4. Step 4: Simplify right side
    502.71x = 314,612.80
  5. Step 5: Solve for x
    x = 314,612.80/502.71
  6. Step 6: Final answer
    x = 625.84

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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.