Home / 1,021.08-1,531.84-327.79

Finding the Fourth Proportional to 1,021.08, 1,531.84 and 327.79

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Solution

The fourth proportional to 1,021.08, 1,531.84 and 327.79 is: 491.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.08 : 1,531.84 = 327.79 : x
  2. Step 2: Convert to fraction form
    1,021.08/1,531.84 = 327.79/x
  3. Step 3: Cross multiply
    1,021.08x = 1,531.84 × 327.79
  4. Step 4: Simplify right side
    1,021.08x = 502,114.17
  5. Step 5: Solve for x
    x = 502,114.17/1,021.08
  6. Step 6: Final answer
    x = 491.75

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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.