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Finding the Fourth Proportional to 1,996.57, 2,994.90 and 662.37

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Solution

The fourth proportional to 1,996.57, 2,994.90 and 662.37 is: 993.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.57 : 2,994.90 = 662.37 : x
  2. Step 2: Convert to fraction form
    1,996.57/2,994.90 = 662.37/x
  3. Step 3: Cross multiply
    1,996.57x = 2,994.90 × 662.37
  4. Step 4: Simplify right side
    1,996.57x = 1,983,718.20
  5. Step 5: Solve for x
    x = 1,983,718.20/1,996.57
  6. Step 6: Final answer
    x = 993.56

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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.