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Finding the Fourth Proportional to 1,198.58, 1,798.32 and 548.88

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Solution

The fourth proportional to 1,198.58, 1,798.32 and 548.88 is: 823.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.58 : 1,798.32 = 548.88 : x
  2. Step 2: Convert to fraction form
    1,198.58/1,798.32 = 548.88/x
  3. Step 3: Cross multiply
    1,198.58x = 1,798.32 × 548.88
  4. Step 4: Simplify right side
    1,198.58x = 987,061.88
  5. Step 5: Solve for x
    x = 987,061.88/1,198.58
  6. Step 6: Final answer
    x = 823.53

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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.