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Finding the Fourth Proportional to 781.18, 1,071.56 and 764.98

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Solution

The fourth proportional to 781.18, 1,071.56 and 764.98 is: 1,049.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.18 : 1,071.56 = 764.98 : x
  2. Step 2: Convert to fraction form
    781.18/1,071.56 = 764.98/x
  3. Step 3: Cross multiply
    781.18x = 1,071.56 × 764.98
  4. Step 4: Simplify right side
    781.18x = 819,721.97
  5. Step 5: Solve for x
    x = 819,721.97/781.18
  6. Step 6: Final answer
    x = 1,049.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.