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Finding the Fourth Proportional to 1,198.38, 1,798.17 and 549.02

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Solution

The fourth proportional to 1,198.38, 1,798.17 and 549.02 is: 823.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.38 : 1,798.17 = 549.02 : x
  2. Step 2: Convert to fraction form
    1,198.38/1,798.17 = 549.02/x
  3. Step 3: Cross multiply
    1,198.38x = 1,798.17 × 549.02
  4. Step 4: Simplify right side
    1,198.38x = 987,231.29
  5. Step 5: Solve for x
    x = 987,231.29/1,198.38
  6. Step 6: Final answer
    x = 823.80

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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.