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Finding the Fourth Proportional to 1,213.19, 1,819.78 and 301.19

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Solution

The fourth proportional to 1,213.19, 1,819.78 and 301.19 is: 451.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.19 : 1,819.78 = 301.19 : x
  2. Step 2: Convert to fraction form
    1,213.19/1,819.78 = 301.19/x
  3. Step 3: Cross multiply
    1,213.19x = 1,819.78 × 301.19
  4. Step 4: Simplify right side
    1,213.19x = 548,095.37
  5. Step 5: Solve for x
    x = 548,095.37/1,213.19
  6. Step 6: Final answer
    x = 451.78

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1.5x scale

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.