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Finding the Fourth Proportional to 868.56, 1,198.50 and 490.46

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Solution

The fourth proportional to 868.56, 1,198.50 and 490.46 is: 676.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.56 : 1,198.50 = 490.46 : x
  2. Step 2: Convert to fraction form
    868.56/1,198.50 = 490.46/x
  3. Step 3: Cross multiply
    868.56x = 1,198.50 × 490.46
  4. Step 4: Simplify right side
    868.56x = 587,810.32
  5. Step 5: Solve for x
    x = 587,810.32/868.56
  6. Step 6: Final answer
    x = 676.76

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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.