Home / 1,149.09-1,723.41-327.14

Finding the Fourth Proportional to 1,149.09, 1,723.41 and 327.14

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Solution

The fourth proportional to 1,149.09, 1,723.41 and 327.14 is: 490.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.09 : 1,723.41 = 327.14 : x
  2. Step 2: Convert to fraction form
    1,149.09/1,723.41 = 327.14/x
  3. Step 3: Cross multiply
    1,149.09x = 1,723.41 × 327.14
  4. Step 4: Simplify right side
    1,149.09x = 563,799.43
  5. Step 5: Solve for x
    x = 563,799.43/1,149.09
  6. Step 6: Final answer
    x = 490.65

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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.