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Finding the Fourth Proportional to 462.96, 691.02 and 408.87

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Solution

The fourth proportional to 462.96, 691.02 and 408.87 is: 610.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.96 : 691.02 = 408.87 : x
  2. Step 2: Convert to fraction form
    462.96/691.02 = 408.87/x
  3. Step 3: Cross multiply
    462.96x = 691.02 × 408.87
  4. Step 4: Simplify right side
    462.96x = 282,537.35
  5. Step 5: Solve for x
    x = 282,537.35/462.96
  6. Step 6: Final answer
    x = 610.28

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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.