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Finding the Fourth Proportional to 663.43, 994.62 and 419.44

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Solution

The fourth proportional to 663.43, 994.62 and 419.44 is: 628.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.43 : 994.62 = 419.44 : x
  2. Step 2: Convert to fraction form
    663.43/994.62 = 419.44/x
  3. Step 3: Cross multiply
    663.43x = 994.62 × 419.44
  4. Step 4: Simplify right side
    663.43x = 417,183.41
  5. Step 5: Solve for x
    x = 417,183.41/663.43
  6. Step 6: Final answer
    x = 628.83

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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.