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Finding the Fourth Proportional to 663.96, 994.86 and 419.70

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Solution

The fourth proportional to 663.96, 994.86 and 419.70 is: 628.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.96 : 994.86 = 419.70 : x
  2. Step 2: Convert to fraction form
    663.96/994.86 = 419.70/x
  3. Step 3: Cross multiply
    663.96x = 994.86 × 419.70
  4. Step 4: Simplify right side
    663.96x = 417,542.74
  5. Step 5: Solve for x
    x = 417,542.74/663.96
  6. Step 6: Final answer
    x = 628.87

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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.