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Finding the Fourth Proportional to 868.63, 1,198.58 and 490.56

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Solution

The fourth proportional to 868.63, 1,198.58 and 490.56 is: 676.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.63 : 1,198.58 = 490.56 : x
  2. Step 2: Convert to fraction form
    868.63/1,198.58 = 490.56/x
  3. Step 3: Cross multiply
    868.63x = 1,198.58 × 490.56
  4. Step 4: Simplify right side
    868.63x = 587,972.95
  5. Step 5: Solve for x
    x = 587,972.95/868.63
  6. Step 6: Final answer
    x = 676.90

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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.