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Finding the Fourth Proportional to 865.32, 1,295.38 and 791.36

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Solution

The fourth proportional to 865.32, 1,295.38 and 791.36 is: 1,184.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.32 : 1,295.38 = 791.36 : x
  2. Step 2: Convert to fraction form
    865.32/1,295.38 = 791.36/x
  3. Step 3: Cross multiply
    865.32x = 1,295.38 × 791.36
  4. Step 4: Simplify right side
    865.32x = 1,025,111.92
  5. Step 5: Solve for x
    x = 1,025,111.92/865.32
  6. Step 6: Final answer
    x = 1,184.66

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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.