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Finding the Fourth Proportional to 1,655.76, 2,481.96 and 731.72

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Solution

The fourth proportional to 1,655.76, 2,481.96 and 731.72 is: 1,096.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.76 : 2,481.96 = 731.72 : x
  2. Step 2: Convert to fraction form
    1,655.76/2,481.96 = 731.72/x
  3. Step 3: Cross multiply
    1,655.76x = 2,481.96 × 731.72
  4. Step 4: Simplify right side
    1,655.76x = 1,816,099.77
  5. Step 5: Solve for x
    x = 1,816,099.77/1,655.76
  6. Step 6: Final answer
    x = 1,096.84

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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.