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Finding the Fourth Proportional to 2,198.72, 3,297.76 and 659.68

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Solution

The fourth proportional to 2,198.72, 3,297.76 and 659.68 is: 989.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.72 : 3,297.76 = 659.68 : x
  2. Step 2: Convert to fraction form
    2,198.72/3,297.76 = 659.68/x
  3. Step 3: Cross multiply
    2,198.72x = 3,297.76 × 659.68
  4. Step 4: Simplify right side
    2,198.72x = 2,175,466.32
  5. Step 5: Solve for x
    x = 2,175,466.32/2,198.72
  6. Step 6: Final answer
    x = 989.42

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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.