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Finding the Fourth Proportional to 1,213.23, 1,819.62 and 482.10

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Solution

The fourth proportional to 1,213.23, 1,819.62 and 482.10 is: 723.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.23 : 1,819.62 = 482.10 : x
  2. Step 2: Convert to fraction form
    1,213.23/1,819.62 = 482.10/x
  3. Step 3: Cross multiply
    1,213.23x = 1,819.62 × 482.10
  4. Step 4: Simplify right side
    1,213.23x = 877,238.80
  5. Step 5: Solve for x
    x = 877,238.80/1,213.23
  6. Step 6: Final answer
    x = 723.06

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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.