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Finding the Fourth Proportional to 1,213.27, 1,819.42 and 520.27

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Solution

The fourth proportional to 1,213.27, 1,819.42 and 520.27 is: 780.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.27 : 1,819.42 = 520.27 : x
  2. Step 2: Convert to fraction form
    1,213.27/1,819.42 = 520.27/x
  3. Step 3: Cross multiply
    1,213.27x = 1,819.42 × 520.27
  4. Step 4: Simplify right side
    1,213.27x = 946,589.64
  5. Step 5: Solve for x
    x = 946,589.64/1,213.27
  6. Step 6: Final answer
    x = 780.20

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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.