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Finding the Fourth Proportional to 463.56, 691.89 and 408.87

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Solution

The fourth proportional to 463.56, 691.89 and 408.87 is: 610.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.56 : 691.89 = 408.87 : x
  2. Step 2: Convert to fraction form
    463.56/691.89 = 408.87/x
  3. Step 3: Cross multiply
    463.56x = 691.89 × 408.87
  4. Step 4: Simplify right side
    463.56x = 282,893.06
  5. Step 5: Solve for x
    x = 282,893.06/463.56
  6. Step 6: Final answer
    x = 610.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.