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Finding the Fourth Proportional to 2,257.11, 3,385.66 and 613.90

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Solution

The fourth proportional to 2,257.11, 3,385.66 and 613.90 is: 920.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.11 : 3,385.66 = 613.90 : x
  2. Step 2: Convert to fraction form
    2,257.11/3,385.66 = 613.90/x
  3. Step 3: Cross multiply
    2,257.11x = 3,385.66 × 613.90
  4. Step 4: Simplify right side
    2,257.11x = 2,078,456.67
  5. Step 5: Solve for x
    x = 2,078,456.67/2,257.11
  6. Step 6: Final answer
    x = 920.85

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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.