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Finding the Fourth Proportional to 1,352.53, 2,027.89 and 486.73

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Solution

The fourth proportional to 1,352.53, 2,027.89 and 486.73 is: 729.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.53 : 2,027.89 = 486.73 : x
  2. Step 2: Convert to fraction form
    1,352.53/2,027.89 = 486.73/x
  3. Step 3: Cross multiply
    1,352.53x = 2,027.89 × 486.73
  4. Step 4: Simplify right side
    1,352.53x = 987,034.90
  5. Step 5: Solve for x
    x = 987,034.90/1,352.53
  6. Step 6: Final answer
    x = 729.77

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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.