Home / 1,149.40-1,723.85-327.66

Finding the Fourth Proportional to 1,149.40, 1,723.85 and 327.66

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Solution

The fourth proportional to 1,149.40, 1,723.85 and 327.66 is: 491.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.40 : 1,723.85 = 327.66 : x
  2. Step 2: Convert to fraction form
    1,149.40/1,723.85 = 327.66/x
  3. Step 3: Cross multiply
    1,149.40x = 1,723.85 × 327.66
  4. Step 4: Simplify right side
    1,149.40x = 564,836.69
  5. Step 5: Solve for x
    x = 564,836.69/1,149.40
  6. Step 6: Final answer
    x = 491.42

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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.