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Finding the Fourth Proportional to 411.89, 614.56 and 382.85

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Solution

The fourth proportional to 411.89, 614.56 and 382.85 is: 571.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.89 : 614.56 = 382.85 : x
  2. Step 2: Convert to fraction form
    411.89/614.56 = 382.85/x
  3. Step 3: Cross multiply
    411.89x = 614.56 × 382.85
  4. Step 4: Simplify right side
    411.89x = 235,282.38
  5. Step 5: Solve for x
    x = 235,282.38/411.89
  6. Step 6: Final answer
    x = 571.23

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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.