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Finding the Fourth Proportional to 662.60, 993.87 and 272.49

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Solution

The fourth proportional to 662.60, 993.87 and 272.49 is: 408.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.60 : 993.87 = 272.49 : x
  2. Step 2: Convert to fraction form
    662.60/993.87 = 272.49/x
  3. Step 3: Cross multiply
    662.60x = 993.87 × 272.49
  4. Step 4: Simplify right side
    662.60x = 270,818.05
  5. Step 5: Solve for x
    x = 270,818.05/662.60
  6. Step 6: Final answer
    x = 408.72

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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.