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Finding the Fourth Proportional to 866.57, 1,194.15 and 617.45

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Solution

The fourth proportional to 866.57, 1,194.15 and 617.45 is: 850.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.57 : 1,194.15 = 617.45 : x
  2. Step 2: Convert to fraction form
    866.57/1,194.15 = 617.45/x
  3. Step 3: Cross multiply
    866.57x = 1,194.15 × 617.45
  4. Step 4: Simplify right side
    866.57x = 737,327.92
  5. Step 5: Solve for x
    x = 737,327.92/866.57
  6. Step 6: Final answer
    x = 850.86

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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.