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Finding the Fourth Proportional to 1,198.26, 1,797.48 and 548.82

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Solution

The fourth proportional to 1,198.26, 1,797.48 and 548.82 is: 823.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.26 : 1,797.48 = 548.82 : x
  2. Step 2: Convert to fraction form
    1,198.26/1,797.48 = 548.82/x
  3. Step 3: Cross multiply
    1,198.26x = 1,797.48 × 548.82
  4. Step 4: Simplify right side
    1,198.26x = 986,492.97
  5. Step 5: Solve for x
    x = 986,492.97/1,198.26
  6. Step 6: Final answer
    x = 823.27

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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.