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Finding the Fourth Proportional to 1,213.22, 1,819.47 and 443.78

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Solution

The fourth proportional to 1,213.22, 1,819.47 and 443.78 is: 665.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.22 : 1,819.47 = 443.78 : x
  2. Step 2: Convert to fraction form
    1,213.22/1,819.47 = 443.78/x
  3. Step 3: Cross multiply
    1,213.22x = 1,819.47 × 443.78
  4. Step 4: Simplify right side
    1,213.22x = 807,444.40
  5. Step 5: Solve for x
    x = 807,444.40/1,213.22
  6. Step 6: Final answer
    x = 665.54

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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.