Home / 1,149.28-1,723.80-327.50

Finding the Fourth Proportional to 1,149.28, 1,723.80 and 327.50

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Solution

The fourth proportional to 1,149.28, 1,723.80 and 327.50 is: 491.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.28 : 1,723.80 = 327.50 : x
  2. Step 2: Convert to fraction form
    1,149.28/1,723.80 = 327.50/x
  3. Step 3: Cross multiply
    1,149.28x = 1,723.80 × 327.50
  4. Step 4: Simplify right side
    1,149.28x = 564,544.50
  5. Step 5: Solve for x
    x = 564,544.50/1,149.28
  6. Step 6: Final answer
    x = 491.22

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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.