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Finding the Fourth Proportional to 662.44, 994.14 and 277.72

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Solution

The fourth proportional to 662.44, 994.14 and 277.72 is: 416.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.44 : 994.14 = 277.72 : x
  2. Step 2: Convert to fraction form
    662.44/994.14 = 277.72/x
  3. Step 3: Cross multiply
    662.44x = 994.14 × 277.72
  4. Step 4: Simplify right side
    662.44x = 276,092.56
  5. Step 5: Solve for x
    x = 276,092.56/662.44
  6. Step 6: Final answer
    x = 416.78

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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.