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Finding the Fourth Proportional to 865.97, 1,196.30 and 749.33

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Solution

The fourth proportional to 865.97, 1,196.30 and 749.33 is: 1,035.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.97 : 1,196.30 = 749.33 : x
  2. Step 2: Convert to fraction form
    865.97/1,196.30 = 749.33/x
  3. Step 3: Cross multiply
    865.97x = 1,196.30 × 749.33
  4. Step 4: Simplify right side
    865.97x = 896,420.49
  5. Step 5: Solve for x
    x = 896,420.49/865.97
  6. Step 6: Final answer
    x = 1,035.17

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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.