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Finding the Fourth Proportional to 2,198.38, 3,297.57 and 638.47

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Solution

The fourth proportional to 2,198.38, 3,297.57 and 638.47 is: 957.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.38 : 3,297.57 = 638.47 : x
  2. Step 2: Convert to fraction form
    2,198.38/3,297.57 = 638.47/x
  3. Step 3: Cross multiply
    2,198.38x = 3,297.57 × 638.47
  4. Step 4: Simplify right side
    2,198.38x = 2,105,399.52
  5. Step 5: Solve for x
    x = 2,105,399.52/2,198.38
  6. Step 6: Final answer
    x = 957.71

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1.5x scale

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.