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Finding the Fourth Proportional to 868.20, 1,198.44 and 553.70

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Solution

The fourth proportional to 868.20, 1,198.44 and 553.70 is: 764.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.20 : 1,198.44 = 553.70 : x
  2. Step 2: Convert to fraction form
    868.20/1,198.44 = 553.70/x
  3. Step 3: Cross multiply
    868.20x = 1,198.44 × 553.70
  4. Step 4: Simplify right side
    868.20x = 663,570.24
  5. Step 5: Solve for x
    x = 663,570.24/868.20
  6. Step 6: Final answer
    x = 764.31

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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.