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Finding the Fourth Proportional to 411.13, 614.29 and 396.78

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Solution

The fourth proportional to 411.13, 614.29 and 396.78 is: 592.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.13 : 614.29 = 396.78 : x
  2. Step 2: Convert to fraction form
    411.13/614.29 = 396.78/x
  3. Step 3: Cross multiply
    411.13x = 614.29 × 396.78
  4. Step 4: Simplify right side
    411.13x = 243,737.99
  5. Step 5: Solve for x
    x = 243,737.99/411.13
  6. Step 6: Final answer
    x = 592.85

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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.