Home / 1,998.85-2,758.44-1,159.60

Finding the Fourth Proportional to 1,998.85, 2,758.44 and 1,159.60

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Solution

The fourth proportional to 1,998.85, 2,758.44 and 1,159.60 is: 1,600.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.85 : 2,758.44 = 1,159.60 : x
  2. Step 2: Convert to fraction form
    1,998.85/2,758.44 = 1,159.60/x
  3. Step 3: Cross multiply
    1,998.85x = 2,758.44 × 1,159.60
  4. Step 4: Simplify right side
    1,998.85x = 3,198,687.02
  5. Step 5: Solve for x
    x = 3,198,687.02/1,998.85
  6. Step 6: Final answer
    x = 1,600.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.