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Finding the Fourth Proportional to 1,001.99, 1,500.96 and 881.71

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Solution

The fourth proportional to 1,001.99, 1,500.96 and 881.71 is: 1,320.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.99 : 1,500.96 = 881.71 : x
  2. Step 2: Convert to fraction form
    1,001.99/1,500.96 = 881.71/x
  3. Step 3: Cross multiply
    1,001.99x = 1,500.96 × 881.71
  4. Step 4: Simplify right side
    1,001.99x = 1,323,411.44
  5. Step 5: Solve for x
    x = 1,323,411.44/1,001.99
  6. Step 6: Final answer
    x = 1,320.78

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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.