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Finding the Fourth Proportional to 731.70, 1,097.64 and 269.37

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Solution

The fourth proportional to 731.70, 1,097.64 and 269.37 is: 404.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.70 : 1,097.64 = 269.37 : x
  2. Step 2: Convert to fraction form
    731.70/1,097.64 = 269.37/x
  3. Step 3: Cross multiply
    731.70x = 1,097.64 × 269.37
  4. Step 4: Simplify right side
    731.70x = 295,671.29
  5. Step 5: Solve for x
    x = 295,671.29/731.70
  6. Step 6: Final answer
    x = 404.09

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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.