Home / 1,198.14-1,795.39-548.12

Finding the Fourth Proportional to 1,198.14, 1,795.39 and 548.12

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Solution

The fourth proportional to 1,198.14, 1,795.39 and 548.12 is: 821.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.14 : 1,795.39 = 548.12 : x
  2. Step 2: Convert to fraction form
    1,198.14/1,795.39 = 548.12/x
  3. Step 3: Cross multiply
    1,198.14x = 1,795.39 × 548.12
  4. Step 4: Simplify right side
    1,198.14x = 984,080.19
  5. Step 5: Solve for x
    x = 984,080.19/1,198.14
  6. Step 6: Final answer
    x = 821.34

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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.