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Finding the Fourth Proportional to 500.91, 691.56 and 335.27

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Solution

The fourth proportional to 500.91, 691.56 and 335.27 is: 462.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.91 : 691.56 = 335.27 : x
  2. Step 2: Convert to fraction form
    500.91/691.56 = 335.27/x
  3. Step 3: Cross multiply
    500.91x = 691.56 × 335.27
  4. Step 4: Simplify right side
    500.91x = 231,855.86
  5. Step 5: Solve for x
    x = 231,855.86/500.91
  6. Step 6: Final answer
    x = 462.87

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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.