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Finding the Fourth Proportional to 1,198.47, 1,797.10 and 548.65

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Solution

The fourth proportional to 1,198.47, 1,797.10 and 548.65 is: 822.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.47 : 1,797.10 = 548.65 : x
  2. Step 2: Convert to fraction form
    1,198.47/1,797.10 = 548.65/x
  3. Step 3: Cross multiply
    1,198.47x = 1,797.10 × 548.65
  4. Step 4: Simplify right side
    1,198.47x = 985,974.74
  5. Step 5: Solve for x
    x = 985,974.74/1,198.47
  6. Step 6: Final answer
    x = 822.69

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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.