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Finding the Fourth Proportional to 868.53, 1,198.74 and 658.33

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Solution

The fourth proportional to 868.53, 1,198.74 and 658.33 is: 908.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.53 : 1,198.74 = 658.33 : x
  2. Step 2: Convert to fraction form
    868.53/1,198.74 = 658.33/x
  3. Step 3: Cross multiply
    868.53x = 1,198.74 × 658.33
  4. Step 4: Simplify right side
    868.53x = 789,163.21
  5. Step 5: Solve for x
    x = 789,163.21/868.53
  6. Step 6: Final answer
    x = 908.62

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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.