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Finding the Fourth Proportional to 791.38, 1,192.87 and 758.44

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Solution

The fourth proportional to 791.38, 1,192.87 and 758.44 is: 1,143.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.38 : 1,192.87 = 758.44 : x
  2. Step 2: Convert to fraction form
    791.38/1,192.87 = 758.44/x
  3. Step 3: Cross multiply
    791.38x = 1,192.87 × 758.44
  4. Step 4: Simplify right side
    791.38x = 904,720.32
  5. Step 5: Solve for x
    x = 904,720.32/791.38
  6. Step 6: Final answer
    x = 1,143.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.