Home / 1,149.26-1,723.37-327.34

Finding the Fourth Proportional to 1,149.26, 1,723.37 and 327.34

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Solution

The fourth proportional to 1,149.26, 1,723.37 and 327.34 is: 490.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.26 : 1,723.37 = 327.34 : x
  2. Step 2: Convert to fraction form
    1,149.26/1,723.37 = 327.34/x
  3. Step 3: Cross multiply
    1,149.26x = 1,723.37 × 327.34
  4. Step 4: Simplify right side
    1,149.26x = 564,119.32
  5. Step 5: Solve for x
    x = 564,119.32/1,149.26
  6. Step 6: Final answer
    x = 490.85

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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.