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Finding the Fourth Proportional to 415.61, 619.76 and 411.92

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Solution

The fourth proportional to 415.61, 619.76 and 411.92 is: 614.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.61 : 619.76 = 411.92 : x
  2. Step 2: Convert to fraction form
    415.61/619.76 = 411.92/x
  3. Step 3: Cross multiply
    415.61x = 619.76 × 411.92
  4. Step 4: Simplify right side
    415.61x = 255,286.38
  5. Step 5: Solve for x
    x = 255,286.38/415.61
  6. Step 6: Final answer
    x = 614.25

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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.