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Finding the Fourth Proportional to 415.73, 624.11 and 411.11

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Solution

The fourth proportional to 415.73, 624.11 and 411.11 is: 617.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.73 : 624.11 = 411.11 : x
  2. Step 2: Convert to fraction form
    415.73/624.11 = 411.11/x
  3. Step 3: Cross multiply
    415.73x = 624.11 × 411.11
  4. Step 4: Simplify right side
    415.73x = 256,575.03
  5. Step 5: Solve for x
    x = 256,575.03/415.73
  6. Step 6: Final answer
    x = 617.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.