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Finding the Fourth Proportional to 691.24, 952.90 and 494.41

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Solution

The fourth proportional to 691.24, 952.90 and 494.41 is: 681.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.24 : 952.90 = 494.41 : x
  2. Step 2: Convert to fraction form
    691.24/952.90 = 494.41/x
  3. Step 3: Cross multiply
    691.24x = 952.90 × 494.41
  4. Step 4: Simplify right side
    691.24x = 471,123.29
  5. Step 5: Solve for x
    x = 471,123.29/691.24
  6. Step 6: Final answer
    x = 681.56

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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.