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Finding the Fourth Proportional to 676.27, 1,013.38 and 502.12

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Solution

The fourth proportional to 676.27, 1,013.38 and 502.12 is: 752.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.27 : 1,013.38 = 502.12 : x
  2. Step 2: Convert to fraction form
    676.27/1,013.38 = 502.12/x
  3. Step 3: Cross multiply
    676.27x = 1,013.38 × 502.12
  4. Step 4: Simplify right side
    676.27x = 508,838.38
  5. Step 5: Solve for x
    x = 508,838.38/676.27
  6. Step 6: Final answer
    x = 752.42

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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.