Home / 1,213.24-1,819.40-482.64

Finding the Fourth Proportional to 1,213.24, 1,819.40 and 482.64

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Solution

The fourth proportional to 1,213.24, 1,819.40 and 482.64 is: 723.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.24 : 1,819.40 = 482.64 : x
  2. Step 2: Convert to fraction form
    1,213.24/1,819.40 = 482.64/x
  3. Step 3: Cross multiply
    1,213.24x = 1,819.40 × 482.64
  4. Step 4: Simplify right side
    1,213.24x = 878,115.22
  5. Step 5: Solve for x
    x = 878,115.22/1,213.24
  6. Step 6: Final answer
    x = 723.78

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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.