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Finding the Fourth Proportional to 418.11, 624.86 and 385.27

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Solution

The fourth proportional to 418.11, 624.86 and 385.27 is: 575.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.11 : 624.86 = 385.27 : x
  2. Step 2: Convert to fraction form
    418.11/624.86 = 385.27/x
  3. Step 3: Cross multiply
    418.11x = 624.86 × 385.27
  4. Step 4: Simplify right side
    418.11x = 240,734.76
  5. Step 5: Solve for x
    x = 240,734.76/418.11
  6. Step 6: Final answer
    x = 575.78

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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.