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Finding the Fourth Proportional to 663.15, 994.72 and 419.74

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Solution

The fourth proportional to 663.15, 994.72 and 419.74 is: 629.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.15 : 994.72 = 419.74 : x
  2. Step 2: Convert to fraction form
    663.15/994.72 = 419.74/x
  3. Step 3: Cross multiply
    663.15x = 994.72 × 419.74
  4. Step 4: Simplify right side
    663.15x = 417,523.77
  5. Step 5: Solve for x
    x = 417,523.77/663.15
  6. Step 6: Final answer
    x = 629.61

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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.