Home / 1,021.38-1,531.99-327.87

Finding the Fourth Proportional to 1,021.38, 1,531.99 and 327.87

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Solution

The fourth proportional to 1,021.38, 1,531.99 and 327.87 is: 491.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.38 : 1,531.99 = 327.87 : x
  2. Step 2: Convert to fraction form
    1,021.38/1,531.99 = 327.87/x
  3. Step 3: Cross multiply
    1,021.38x = 1,531.99 × 327.87
  4. Step 4: Simplify right side
    1,021.38x = 502,293.56
  5. Step 5: Solve for x
    x = 502,293.56/1,021.38
  6. Step 6: Final answer
    x = 491.78

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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.