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Finding the Fourth Proportional to 731.93, 1,097.95 and 269.71

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Solution

The fourth proportional to 731.93, 1,097.95 and 269.71 is: 404.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.93 : 1,097.95 = 269.71 : x
  2. Step 2: Convert to fraction form
    731.93/1,097.95 = 269.71/x
  3. Step 3: Cross multiply
    731.93x = 1,097.95 × 269.71
  4. Step 4: Simplify right side
    731.93x = 296,128.09
  5. Step 5: Solve for x
    x = 296,128.09/731.93
  6. Step 6: Final answer
    x = 404.59

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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.