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Finding the Fourth Proportional to 865.33, 1,193.48 and 765.86

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Solution

The fourth proportional to 865.33, 1,193.48 and 765.86 is: 1,056.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.33 : 1,193.48 = 765.86 : x
  2. Step 2: Convert to fraction form
    865.33/1,193.48 = 765.86/x
  3. Step 3: Cross multiply
    865.33x = 1,193.48 × 765.86
  4. Step 4: Simplify right side
    865.33x = 914,035.98
  5. Step 5: Solve for x
    x = 914,035.98/865.33
  6. Step 6: Final answer
    x = 1,056.28

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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.