Home / 1,021.11-1,531.53-327.75

Finding the Fourth Proportional to 1,021.11, 1,531.53 and 327.75

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Solution

The fourth proportional to 1,021.11, 1,531.53 and 327.75 is: 491.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.11 : 1,531.53 = 327.75 : x
  2. Step 2: Convert to fraction form
    1,021.11/1,531.53 = 327.75/x
  3. Step 3: Cross multiply
    1,021.11x = 1,531.53 × 327.75
  4. Step 4: Simplify right side
    1,021.11x = 501,958.96
  5. Step 5: Solve for x
    x = 501,958.96/1,021.11
  6. Step 6: Final answer
    x = 491.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.