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Finding the Fourth Proportional to 1,001.31, 1,381.80 and 547.07

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Solution

The fourth proportional to 1,001.31, 1,381.80 and 547.07 is: 754.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.31 : 1,381.80 = 547.07 : x
  2. Step 2: Convert to fraction form
    1,001.31/1,381.80 = 547.07/x
  3. Step 3: Cross multiply
    1,001.31x = 1,381.80 × 547.07
  4. Step 4: Simplify right side
    1,001.31x = 755,934.42
  5. Step 5: Solve for x
    x = 755,934.42/1,001.31
  6. Step 6: Final answer
    x = 754.95

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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.