Home / 1,021.24-1,531.88-327.85

Finding the Fourth Proportional to 1,021.24, 1,531.88 and 327.85

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Solution

The fourth proportional to 1,021.24, 1,531.88 and 327.85 is: 491.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.24 : 1,531.88 = 327.85 : x
  2. Step 2: Convert to fraction form
    1,021.24/1,531.88 = 327.85/x
  3. Step 3: Cross multiply
    1,021.24x = 1,531.88 × 327.85
  4. Step 4: Simplify right side
    1,021.24x = 502,222.62
  5. Step 5: Solve for x
    x = 502,222.62/1,021.24
  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.