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Finding the Fourth Proportional to 463.59, 691.34 and 406.08

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Solution

The fourth proportional to 463.59, 691.34 and 406.08 is: 605.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.59 : 691.34 = 406.08 : x
  2. Step 2: Convert to fraction form
    463.59/691.34 = 406.08/x
  3. Step 3: Cross multiply
    463.59x = 691.34 × 406.08
  4. Step 4: Simplify right side
    463.59x = 280,737.32
  5. Step 5: Solve for x
    x = 280,737.32/463.59
  6. Step 6: Final answer
    x = 605.57

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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.