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Finding the Fourth Proportional to 2,198.43, 3,297.69 and 554.97

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Solution

The fourth proportional to 2,198.43, 3,297.69 and 554.97 is: 832.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.43 : 3,297.69 = 554.97 : x
  2. Step 2: Convert to fraction form
    2,198.43/3,297.69 = 554.97/x
  3. Step 3: Cross multiply
    2,198.43x = 3,297.69 × 554.97
  4. Step 4: Simplify right side
    2,198.43x = 1,830,119.02
  5. Step 5: Solve for x
    x = 1,830,119.02/2,198.43
  6. Step 6: Final answer
    x = 832.47

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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.