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Finding the Fourth Proportional to 588.46, 812.42 and 411.53

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Solution

The fourth proportional to 588.46, 812.42 and 411.53 is: 568.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.46 : 812.42 = 411.53 : x
  2. Step 2: Convert to fraction form
    588.46/812.42 = 411.53/x
  3. Step 3: Cross multiply
    588.46x = 812.42 × 411.53
  4. Step 4: Simplify right side
    588.46x = 334,335.20
  5. Step 5: Solve for x
    x = 334,335.20/588.46
  6. Step 6: Final answer
    x = 568.15

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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.