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Finding the Fourth Proportional to 447.50, 667.18 and 419.96

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Solution

The fourth proportional to 447.50, 667.18 and 419.96 is: 626.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.50 : 667.18 = 419.96 : x
  2. Step 2: Convert to fraction form
    447.50/667.18 = 419.96/x
  3. Step 3: Cross multiply
    447.50x = 667.18 × 419.96
  4. Step 4: Simplify right side
    447.50x = 280,188.91
  5. Step 5: Solve for x
    x = 280,188.91/447.50
  6. Step 6: Final answer
    x = 626.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.