Home / 1,297.20-1,780.56-1,198.68

Finding the Fourth Proportional to 1,297.20, 1,780.56 and 1,198.68

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Solution

The fourth proportional to 1,297.20, 1,780.56 and 1,198.68 is: 1,645.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.20 : 1,780.56 = 1,198.68 : x
  2. Step 2: Convert to fraction form
    1,297.20/1,780.56 = 1,198.68/x
  3. Step 3: Cross multiply
    1,297.20x = 1,780.56 × 1,198.68
  4. Step 4: Simplify right side
    1,297.20x = 2,134,321.66
  5. Step 5: Solve for x
    x = 2,134,321.66/1,297.20
  6. Step 6: Final answer
    x = 1,645.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.