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Finding the Fourth Proportional to 1,351.89, 2,028.04 and 486

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Solution

The fourth proportional to 1,351.89, 2,028.04 and 486 is: 729.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.89 : 2,028.04 = 486 : x
  2. Step 2: Convert to fraction form
    1,351.89/2,028.04 = 486/x
  3. Step 3: Cross multiply
    1,351.89x = 2,028.04 × 486
  4. Step 4: Simplify right side
    1,351.89x = 985,626.23
  5. Step 5: Solve for x
    x = 985,626.23/1,351.89
  6. Step 6: Final answer
    x = 729.07

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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.