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Finding the Fourth Proportional to 588.43, 811.17 and 463.85

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Solution

The fourth proportional to 588.43, 811.17 and 463.85 is: 639.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.43 : 811.17 = 463.85 : x
  2. Step 2: Convert to fraction form
    588.43/811.17 = 463.85/x
  3. Step 3: Cross multiply
    588.43x = 811.17 × 463.85
  4. Step 4: Simplify right side
    588.43x = 376,261.20
  5. Step 5: Solve for x
    x = 376,261.20/588.43
  6. Step 6: Final answer
    x = 639.43

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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.