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Finding the Fourth Proportional to 868.12, 1,198.44 and 589.82

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Solution

The fourth proportional to 868.12, 1,198.44 and 589.82 is: 814.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.12 : 1,198.44 = 589.82 : x
  2. Step 2: Convert to fraction form
    868.12/1,198.44 = 589.82/x
  3. Step 3: Cross multiply
    868.12x = 1,198.44 × 589.82
  4. Step 4: Simplify right side
    868.12x = 706,863.88
  5. Step 5: Solve for x
    x = 706,863.88/868.12
  6. Step 6: Final answer
    x = 814.25

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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.