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Finding the Fourth Proportional to 732.38, 1,097.78 and 321.44

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Solution

The fourth proportional to 732.38, 1,097.78 and 321.44 is: 481.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.38 : 1,097.78 = 321.44 : x
  2. Step 2: Convert to fraction form
    732.38/1,097.78 = 321.44/x
  3. Step 3: Cross multiply
    732.38x = 1,097.78 × 321.44
  4. Step 4: Simplify right side
    732.38x = 352,863.31
  5. Step 5: Solve for x
    x = 352,863.31/732.38
  6. Step 6: Final answer
    x = 481.81

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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.