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Finding the Fourth Proportional to 588.40, 812.35 and 411.30

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Solution

The fourth proportional to 588.40, 812.35 and 411.30 is: 567.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.40 : 812.35 = 411.30 : x
  2. Step 2: Convert to fraction form
    588.40/812.35 = 411.30/x
  3. Step 3: Cross multiply
    588.40x = 812.35 × 411.30
  4. Step 4: Simplify right side
    588.40x = 334,120.92
  5. Step 5: Solve for x
    x = 334,120.92/588.40
  6. Step 6: Final answer
    x = 567.85

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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.