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Finding the Fourth Proportional to 796.42, 1,096.61 and 691.32

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Solution

The fourth proportional to 796.42, 1,096.61 and 691.32 is: 951.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.42 : 1,096.61 = 691.32 : x
  2. Step 2: Convert to fraction form
    796.42/1,096.61 = 691.32/x
  3. Step 3: Cross multiply
    796.42x = 1,096.61 × 691.32
  4. Step 4: Simplify right side
    796.42x = 758,104.97
  5. Step 5: Solve for x
    x = 758,104.97/796.42
  6. Step 6: Final answer
    x = 951.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.