Home / 1,149.24-1,723.14-418.80

Finding the Fourth Proportional to 1,149.24, 1,723.14 and 418.80

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Solution

The fourth proportional to 1,149.24, 1,723.14 and 418.80 is: 627.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.24 : 1,723.14 = 418.80 : x
  2. Step 2: Convert to fraction form
    1,149.24/1,723.14 = 418.80/x
  3. Step 3: Cross multiply
    1,149.24x = 1,723.14 × 418.80
  4. Step 4: Simplify right side
    1,149.24x = 721,651.03
  5. Step 5: Solve for x
    x = 721,651.03/1,149.24
  6. Step 6: Final answer
    x = 627.94

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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.