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Finding the Fourth Proportional to 891.92, 1,232.02 and 728.20

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Solution

The fourth proportional to 891.92, 1,232.02 and 728.20 is: 1,005.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.92 : 1,232.02 = 728.20 : x
  2. Step 2: Convert to fraction form
    891.92/1,232.02 = 728.20/x
  3. Step 3: Cross multiply
    891.92x = 1,232.02 × 728.20
  4. Step 4: Simplify right side
    891.92x = 897,156.96
  5. Step 5: Solve for x
    x = 897,156.96/891.92
  6. Step 6: Final answer
    x = 1,005.87

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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.