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Finding the Fourth Proportional to 1,392.91, 2,089.38 and 819.43

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Solution

The fourth proportional to 1,392.91, 2,089.38 and 819.43 is: 1,229.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.91 : 2,089.38 = 819.43 : x
  2. Step 2: Convert to fraction form
    1,392.91/2,089.38 = 819.43/x
  3. Step 3: Cross multiply
    1,392.91x = 2,089.38 × 819.43
  4. Step 4: Simplify right side
    1,392.91x = 1,712,100.65
  5. Step 5: Solve for x
    x = 1,712,100.65/1,392.91
  6. Step 6: Final answer
    x = 1,229.15

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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.