Home / 1,198.24-1,785.59-1,159.09

Finding the Fourth Proportional to 1,198.24, 1,785.59 and 1,159.09

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Solution

The fourth proportional to 1,198.24, 1,785.59 and 1,159.09 is: 1,727.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.24 : 1,785.59 = 1,159.09 : x
  2. Step 2: Convert to fraction form
    1,198.24/1,785.59 = 1,159.09/x
  3. Step 3: Cross multiply
    1,198.24x = 1,785.59 × 1,159.09
  4. Step 4: Simplify right side
    1,198.24x = 2,069,659.51
  5. Step 5: Solve for x
    x = 2,069,659.51/1,198.24
  6. Step 6: Final answer
    x = 1,727.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.