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Finding the Fourth Proportional to 731.42, 1,096.32 and 298.07

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Solution

The fourth proportional to 731.42, 1,096.32 and 298.07 is: 446.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.42 : 1,096.32 = 298.07 : x
  2. Step 2: Convert to fraction form
    731.42/1,096.32 = 298.07/x
  3. Step 3: Cross multiply
    731.42x = 1,096.32 × 298.07
  4. Step 4: Simplify right side
    731.42x = 326,780.10
  5. Step 5: Solve for x
    x = 326,780.10/731.42
  6. Step 6: Final answer
    x = 446.77

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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.