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Finding the Fourth Proportional to 1,333.31, 2,000.14 and 408.85

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Solution

The fourth proportional to 1,333.31, 2,000.14 and 408.85 is: 613.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.31 : 2,000.14 = 408.85 : x
  2. Step 2: Convert to fraction form
    1,333.31/2,000.14 = 408.85/x
  3. Step 3: Cross multiply
    1,333.31x = 2,000.14 × 408.85
  4. Step 4: Simplify right side
    1,333.31x = 817,753.52
  5. Step 5: Solve for x
    x = 817,753.52/1,333.31
  6. Step 6: Final answer
    x = 613.33

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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.