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Finding the Fourth Proportional to 865.24, 1,289.87 and 796.12

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Solution

The fourth proportional to 865.24, 1,289.87 and 796.12 is: 1,186.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.24 : 1,289.87 = 796.12 : x
  2. Step 2: Convert to fraction form
    865.24/1,289.87 = 796.12/x
  3. Step 3: Cross multiply
    865.24x = 1,289.87 × 796.12
  4. Step 4: Simplify right side
    865.24x = 1,026,891.30
  5. Step 5: Solve for x
    x = 1,026,891.30/865.24
  6. Step 6: Final answer
    x = 1,186.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.