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Finding the Fourth Proportional to 891.97, 1,343.14 and 662.47

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Solution

The fourth proportional to 891.97, 1,343.14 and 662.47 is: 997.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.97 : 1,343.14 = 662.47 : x
  2. Step 2: Convert to fraction form
    891.97/1,343.14 = 662.47/x
  3. Step 3: Cross multiply
    891.97x = 1,343.14 × 662.47
  4. Step 4: Simplify right side
    891.97x = 889,789.96
  5. Step 5: Solve for x
    x = 889,789.96/891.97
  6. Step 6: Final answer
    x = 997.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.