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Finding the Fourth Proportional to 500.98, 691.32 and 291.16

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Solution

The fourth proportional to 500.98, 691.32 and 291.16 is: 401.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.98 : 691.32 = 291.16 : x
  2. Step 2: Convert to fraction form
    500.98/691.32 = 291.16/x
  3. Step 3: Cross multiply
    500.98x = 691.32 × 291.16
  4. Step 4: Simplify right side
    500.98x = 201,284.73
  5. Step 5: Solve for x
    x = 201,284.73/500.98
  6. Step 6: Final answer
    x = 401.78

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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.