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Finding the Fourth Proportional to 1,198.61, 1,797.92 and 685.25

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Solution

The fourth proportional to 1,198.61, 1,797.92 and 685.25 is: 1,027.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.61 : 1,797.92 = 685.25 : x
  2. Step 2: Convert to fraction form
    1,198.61/1,797.92 = 685.25/x
  3. Step 3: Cross multiply
    1,198.61x = 1,797.92 × 685.25
  4. Step 4: Simplify right side
    1,198.61x = 1,232,021.25
  5. Step 5: Solve for x
    x = 1,232,021.25/1,198.61
  6. Step 6: Final answer
    x = 1,027.88

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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.