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Finding the Fourth Proportional to 1,213.79, 1,819.31 and 482.51

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Solution

The fourth proportional to 1,213.79, 1,819.31 and 482.51 is: 723.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.79 : 1,819.31 = 482.51 : x
  2. Step 2: Convert to fraction form
    1,213.79/1,819.31 = 482.51/x
  3. Step 3: Cross multiply
    1,213.79x = 1,819.31 × 482.51
  4. Step 4: Simplify right side
    1,213.79x = 877,829.88
  5. Step 5: Solve for x
    x = 877,829.88/1,213.79
  6. Step 6: Final answer
    x = 723.22

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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.