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Finding the Fourth Proportional to 731.72, 1,097.60 and 298.56

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Solution

The fourth proportional to 731.72, 1,097.60 and 298.56 is: 447.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.72 : 1,097.60 = 298.56 : x
  2. Step 2: Convert to fraction form
    731.72/1,097.60 = 298.56/x
  3. Step 3: Cross multiply
    731.72x = 1,097.60 × 298.56
  4. Step 4: Simplify right side
    731.72x = 327,699.46
  5. Step 5: Solve for x
    x = 327,699.46/731.72
  6. Step 6: Final answer
    x = 447.85

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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.