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Finding the Fourth Proportional to 866.16, 1,194.91 and 629.50

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Solution

The fourth proportional to 866.16, 1,194.91 and 629.50 is: 868.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.16 : 1,194.91 = 629.50 : x
  2. Step 2: Convert to fraction form
    866.16/1,194.91 = 629.50/x
  3. Step 3: Cross multiply
    866.16x = 1,194.91 × 629.50
  4. Step 4: Simplify right side
    866.16x = 752,195.85
  5. Step 5: Solve for x
    x = 752,195.85/866.16
  6. Step 6: Final answer
    x = 868.43

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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.