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Finding the Fourth Proportional to 865.31, 1,193.37 and 765.82

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Solution

The fourth proportional to 865.31, 1,193.37 and 765.82 is: 1,056.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.31 : 1,193.37 = 765.82 : x
  2. Step 2: Convert to fraction form
    865.31/1,193.37 = 765.82/x
  3. Step 3: Cross multiply
    865.31x = 1,193.37 × 765.82
  4. Step 4: Simplify right side
    865.31x = 913,900.65
  5. Step 5: Solve for x
    x = 913,900.65/865.31
  6. Step 6: Final answer
    x = 1,056.15

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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.