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Finding the Fourth Proportional to 1,990.98, 2,983.89 and 819.65

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Solution

The fourth proportional to 1,990.98, 2,983.89 and 819.65 is: 1,228.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.98 : 2,983.89 = 819.65 : x
  2. Step 2: Convert to fraction form
    1,990.98/2,983.89 = 819.65/x
  3. Step 3: Cross multiply
    1,990.98x = 2,983.89 × 819.65
  4. Step 4: Simplify right side
    1,990.98x = 2,445,751.36
  5. Step 5: Solve for x
    x = 2,445,751.36/1,990.98
  6. Step 6: Final answer
    x = 1,228.42

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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.