Home / 2,198.22-3,297.46-697.10

Finding the Fourth Proportional to 2,198.22, 3,297.46 and 697.10

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Solution

The fourth proportional to 2,198.22, 3,297.46 and 697.10 is: 1,045.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.22 : 3,297.46 = 697.10 : x
  2. Step 2: Convert to fraction form
    2,198.22/3,297.46 = 697.10/x
  3. Step 3: Cross multiply
    2,198.22x = 3,297.46 × 697.10
  4. Step 4: Simplify right side
    2,198.22x = 2,298,659.37
  5. Step 5: Solve for x
    x = 2,298,659.37/2,198.22
  6. Step 6: Final answer
    x = 1,045.69

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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.