Home / 1,149.26-1,724.16-327.52

Finding the Fourth Proportional to 1,149.26, 1,724.16 and 327.52

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Solution

The fourth proportional to 1,149.26, 1,724.16 and 327.52 is: 491.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.26 : 1,724.16 = 327.52 : x
  2. Step 2: Convert to fraction form
    1,149.26/1,724.16 = 327.52/x
  3. Step 3: Cross multiply
    1,149.26x = 1,724.16 × 327.52
  4. Step 4: Simplify right side
    1,149.26x = 564,688.26
  5. Step 5: Solve for x
    x = 564,688.26/1,149.26
  6. Step 6: Final answer
    x = 491.35

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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.