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Finding the Fourth Proportional to 891.48, 1,229.31 and 871.36

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Solution

The fourth proportional to 891.48, 1,229.31 and 871.36 is: 1,201.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.48 : 1,229.31 = 871.36 : x
  2. Step 2: Convert to fraction form
    891.48/1,229.31 = 871.36/x
  3. Step 3: Cross multiply
    891.48x = 1,229.31 × 871.36
  4. Step 4: Simplify right side
    891.48x = 1,071,171.56
  5. Step 5: Solve for x
    x = 1,071,171.56/891.48
  6. Step 6: Final answer
    x = 1,201.57

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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.