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Finding the Fourth Proportional to 731.22, 1,008.01 and 711.78

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Solution

The fourth proportional to 731.22, 1,008.01 and 711.78 is: 981.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.22 : 1,008.01 = 711.78 : x
  2. Step 2: Convert to fraction form
    731.22/1,008.01 = 711.78/x
  3. Step 3: Cross multiply
    731.22x = 1,008.01 × 711.78
  4. Step 4: Simplify right side
    731.22x = 717,481.36
  5. Step 5: Solve for x
    x = 717,481.36/731.22
  6. Step 6: Final answer
    x = 981.21

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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.