Home / 1,021.25-1,531.79-327.73

Finding the Fourth Proportional to 1,021.25, 1,531.79 and 327.73

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Solution

The fourth proportional to 1,021.25, 1,531.79 and 327.73 is: 491.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.25 : 1,531.79 = 327.73 : x
  2. Step 2: Convert to fraction form
    1,021.25/1,531.79 = 327.73/x
  3. Step 3: Cross multiply
    1,021.25x = 1,531.79 × 327.73
  4. Step 4: Simplify right side
    1,021.25x = 502,019.76
  5. Step 5: Solve for x
    x = 502,019.76/1,021.25
  6. Step 6: Final answer
    x = 491.57

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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.