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Finding the Fourth Proportional to 663.45, 994.35 and 419.43

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Solution

The fourth proportional to 663.45, 994.35 and 419.43 is: 628.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.45 : 994.35 = 419.43 : x
  2. Step 2: Convert to fraction form
    663.45/994.35 = 419.43/x
  3. Step 3: Cross multiply
    663.45x = 994.35 × 419.43
  4. Step 4: Simplify right side
    663.45x = 417,060.22
  5. Step 5: Solve for x
    x = 417,060.22/663.45
  6. Step 6: Final answer
    x = 628.62

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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.