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Finding the Fourth Proportional to 679.44, 938.49 and 502.74

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Solution

The fourth proportional to 679.44, 938.49 and 502.74 is: 694.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.44 : 938.49 = 502.74 : x
  2. Step 2: Convert to fraction form
    679.44/938.49 = 502.74/x
  3. Step 3: Cross multiply
    679.44x = 938.49 × 502.74
  4. Step 4: Simplify right side
    679.44x = 471,816.46
  5. Step 5: Solve for x
    x = 471,816.46/679.44
  6. Step 6: Final answer
    x = 694.42

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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.