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Finding the Fourth Proportional to 868.68, 1,198.78 and 558.18

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Solution

The fourth proportional to 868.68, 1,198.78 and 558.18 is: 770.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.68 : 1,198.78 = 558.18 : x
  2. Step 2: Convert to fraction form
    868.68/1,198.78 = 558.18/x
  3. Step 3: Cross multiply
    868.68x = 1,198.78 × 558.18
  4. Step 4: Simplify right side
    868.68x = 669,135.02
  5. Step 5: Solve for x
    x = 669,135.02/868.68
  6. Step 6: Final answer
    x = 770.29

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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.