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Finding the Fourth Proportional to 1,001.48, 1,382.86 and 742.28

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Solution

The fourth proportional to 1,001.48, 1,382.86 and 742.28 is: 1,024.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.48 : 1,382.86 = 742.28 : x
  2. Step 2: Convert to fraction form
    1,001.48/1,382.86 = 742.28/x
  3. Step 3: Cross multiply
    1,001.48x = 1,382.86 × 742.28
  4. Step 4: Simplify right side
    1,001.48x = 1,026,469.32
  5. Step 5: Solve for x
    x = 1,026,469.32/1,001.48
  6. Step 6: Final answer
    x = 1,024.95

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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.