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Finding the Fourth Proportional to 1,000.43, 1,500.62 and 269.97

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Solution

The fourth proportional to 1,000.43, 1,500.62 and 269.97 is: 404.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.43 : 1,500.62 = 269.97 : x
  2. Step 2: Convert to fraction form
    1,000.43/1,500.62 = 269.97/x
  3. Step 3: Cross multiply
    1,000.43x = 1,500.62 × 269.97
  4. Step 4: Simplify right side
    1,000.43x = 405,121.03
  5. Step 5: Solve for x
    x = 405,121.03/1,000.43
  6. Step 6: Final answer
    x = 404.95

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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.