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Finding the Fourth Proportional to 1,001.71, 1,491.46 and 996.85

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Solution

The fourth proportional to 1,001.71, 1,491.46 and 996.85 is: 1,484.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.71 : 1,491.46 = 996.85 : x
  2. Step 2: Convert to fraction form
    1,001.71/1,491.46 = 996.85/x
  3. Step 3: Cross multiply
    1,001.71x = 1,491.46 × 996.85
  4. Step 4: Simplify right side
    1,001.71x = 1,486,761.90
  5. Step 5: Solve for x
    x = 1,486,761.90/1,001.71
  6. Step 6: Final answer
    x = 1,484.22

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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.