Home / 1,149.18-1,723.50-327.24

Finding the Fourth Proportional to 1,149.18, 1,723.50 and 327.24

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Solution

The fourth proportional to 1,149.18, 1,723.50 and 327.24 is: 490.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.18 : 1,723.50 = 327.24 : x
  2. Step 2: Convert to fraction form
    1,149.18/1,723.50 = 327.24/x
  3. Step 3: Cross multiply
    1,149.18x = 1,723.50 × 327.24
  4. Step 4: Simplify right side
    1,149.18x = 563,998.14
  5. Step 5: Solve for x
    x = 563,998.14/1,149.18
  6. Step 6: Final answer
    x = 490.78

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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.