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Finding the Fourth Proportional to 2,198.28, 3,297.42 and 659.28

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Solution

The fourth proportional to 2,198.28, 3,297.42 and 659.28 is: 988.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.28 : 3,297.42 = 659.28 : x
  2. Step 2: Convert to fraction form
    2,198.28/3,297.42 = 659.28/x
  3. Step 3: Cross multiply
    2,198.28x = 3,297.42 × 659.28
  4. Step 4: Simplify right side
    2,198.28x = 2,173,923.06
  5. Step 5: Solve for x
    x = 2,173,923.06/2,198.28
  6. Step 6: Final answer
    x = 988.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.