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Finding the Fourth Proportional to 2,198.36, 3,297.18 and 659

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Solution

The fourth proportional to 2,198.36, 3,297.18 and 659 is: 988.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.36 : 3,297.18 = 659 : x
  2. Step 2: Convert to fraction form
    2,198.36/3,297.18 = 659/x
  3. Step 3: Cross multiply
    2,198.36x = 3,297.18 × 659
  4. Step 4: Simplify right side
    2,198.36x = 2,172,841.62
  5. Step 5: Solve for x
    x = 2,172,841.62/2,198.36
  6. Step 6: Final answer
    x = 988.39

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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.