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Finding the Fourth Proportional to 731.81, 1,096.39 and 402.39

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Solution

The fourth proportional to 731.81, 1,096.39 and 402.39 is: 602.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.81 : 1,096.39 = 402.39 : x
  2. Step 2: Convert to fraction form
    731.81/1,096.39 = 402.39/x
  3. Step 3: Cross multiply
    731.81x = 1,096.39 × 402.39
  4. Step 4: Simplify right side
    731.81x = 441,176.37
  5. Step 5: Solve for x
    x = 441,176.37/731.81
  6. Step 6: Final answer
    x = 602.86

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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.