Home / 2,198.45-3,298.10-718.09

Finding the Fourth Proportional to 2,198.45, 3,298.10 and 718.09

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Solution

The fourth proportional to 2,198.45, 3,298.10 and 718.09 is: 1,077.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.45 : 3,298.10 = 718.09 : x
  2. Step 2: Convert to fraction form
    2,198.45/3,298.10 = 718.09/x
  3. Step 3: Cross multiply
    2,198.45x = 3,298.10 × 718.09
  4. Step 4: Simplify right side
    2,198.45x = 2,368,317.93
  5. Step 5: Solve for x
    x = 2,368,317.93/2,198.45
  6. Step 6: Final answer
    x = 1,077.27

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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.