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Finding the Fourth Proportional to 801.50, 1,195.24 and 729.08

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Solution

The fourth proportional to 801.50, 1,195.24 and 729.08 is: 1,087.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.50 : 1,195.24 = 729.08 : x
  2. Step 2: Convert to fraction form
    801.50/1,195.24 = 729.08/x
  3. Step 3: Cross multiply
    801.50x = 1,195.24 × 729.08
  4. Step 4: Simplify right side
    801.50x = 871,425.58
  5. Step 5: Solve for x
    x = 871,425.58/801.50
  6. Step 6: Final answer
    x = 1,087.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.