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Finding the Fourth Proportional to 865.22, 1,193.07 and 616.45

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Solution

The fourth proportional to 865.22, 1,193.07 and 616.45 is: 850.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.22 : 1,193.07 = 616.45 : x
  2. Step 2: Convert to fraction form
    865.22/1,193.07 = 616.45/x
  3. Step 3: Cross multiply
    865.22x = 1,193.07 × 616.45
  4. Step 4: Simplify right side
    865.22x = 735,468.00
  5. Step 5: Solve for x
    x = 735,468.00/865.22
  6. Step 6: Final answer
    x = 850.04

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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.