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Finding the Fourth Proportional to 1,001.31, 1,381.76 and 553.18

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Solution

The fourth proportional to 1,001.31, 1,381.76 and 553.18 is: 763.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.31 : 1,381.76 = 553.18 : x
  2. Step 2: Convert to fraction form
    1,001.31/1,381.76 = 553.18/x
  3. Step 3: Cross multiply
    1,001.31x = 1,381.76 × 553.18
  4. Step 4: Simplify right side
    1,001.31x = 764,360.44
  5. Step 5: Solve for x
    x = 764,360.44/1,001.31
  6. Step 6: Final answer
    x = 763.36

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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.