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Finding the Fourth Proportional to 1,003.73, 1,385.61 and 755.13

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Solution

The fourth proportional to 1,003.73, 1,385.61 and 755.13 is: 1,042.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.73 : 1,385.61 = 755.13 : x
  2. Step 2: Convert to fraction form
    1,003.73/1,385.61 = 755.13/x
  3. Step 3: Cross multiply
    1,003.73x = 1,385.61 × 755.13
  4. Step 4: Simplify right side
    1,003.73x = 1,046,318.04
  5. Step 5: Solve for x
    x = 1,046,318.04/1,003.73
  6. Step 6: Final answer
    x = 1,042.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.