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Finding the Fourth Proportional to 865.09, 1,192.68 and 688.66

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Solution

The fourth proportional to 865.09, 1,192.68 and 688.66 is: 949.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.09 : 1,192.68 = 688.66 : x
  2. Step 2: Convert to fraction form
    865.09/1,192.68 = 688.66/x
  3. Step 3: Cross multiply
    865.09x = 1,192.68 × 688.66
  4. Step 4: Simplify right side
    865.09x = 821,351.01
  5. Step 5: Solve for x
    x = 821,351.01/865.09
  6. Step 6: Final answer
    x = 949.44

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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.