Home / 1,149.44-1,723.89-327.69

Finding the Fourth Proportional to 1,149.44, 1,723.89 and 327.69

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Solution

The fourth proportional to 1,149.44, 1,723.89 and 327.69 is: 491.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.44 : 1,723.89 = 327.69 : x
  2. Step 2: Convert to fraction form
    1,149.44/1,723.89 = 327.69/x
  3. Step 3: Cross multiply
    1,149.44x = 1,723.89 × 327.69
  4. Step 4: Simplify right side
    1,149.44x = 564,902.74
  5. Step 5: Solve for x
    x = 564,902.74/1,149.44
  6. Step 6: Final answer
    x = 491.46

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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.