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Finding the Fourth Proportional to 796.38, 1,191.96 and 722.58

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Solution

The fourth proportional to 796.38, 1,191.96 and 722.58 is: 1,081.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.38 : 1,191.96 = 722.58 : x
  2. Step 2: Convert to fraction form
    796.38/1,191.96 = 722.58/x
  3. Step 3: Cross multiply
    796.38x = 1,191.96 × 722.58
  4. Step 4: Simplify right side
    796.38x = 861,286.46
  5. Step 5: Solve for x
    x = 861,286.46/796.38
  6. Step 6: Final answer
    x = 1,081.50

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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.