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Finding the Fourth Proportional to 447.12, 667.44 and 417.96

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Solution

The fourth proportional to 447.12, 667.44 and 417.96 is: 623.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.12 : 667.44 = 417.96 : x
  2. Step 2: Convert to fraction form
    447.12/667.44 = 417.96/x
  3. Step 3: Cross multiply
    447.12x = 667.44 × 417.96
  4. Step 4: Simplify right side
    447.12x = 278,963.22
  5. Step 5: Solve for x
    x = 278,963.22/447.12
  6. Step 6: Final answer
    x = 623.91

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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.