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Finding the Fourth Proportional to 881.97, 1,323.24 and 729.46

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Solution

The fourth proportional to 881.97, 1,323.24 and 729.46 is: 1,094.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.97 : 1,323.24 = 729.46 : x
  2. Step 2: Convert to fraction form
    881.97/1,323.24 = 729.46/x
  3. Step 3: Cross multiply
    881.97x = 1,323.24 × 729.46
  4. Step 4: Simplify right side
    881.97x = 965,250.65
  5. Step 5: Solve for x
    x = 965,250.65/881.97
  6. Step 6: Final answer
    x = 1,094.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.