Home / 1,021.23-1,531.82-327.89

Finding the Fourth Proportional to 1,021.23, 1,531.82 and 327.89

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Solution

The fourth proportional to 1,021.23, 1,531.82 and 327.89 is: 491.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.23 : 1,531.82 = 327.89 : x
  2. Step 2: Convert to fraction form
    1,021.23/1,531.82 = 327.89/x
  3. Step 3: Cross multiply
    1,021.23x = 1,531.82 × 327.89
  4. Step 4: Simplify right side
    1,021.23x = 502,268.46
  5. Step 5: Solve for x
    x = 502,268.46/1,021.23
  6. Step 6: Final answer
    x = 491.83

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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.