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Finding the Fourth Proportional to 447.86, 668.27 and 404.12

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Solution

The fourth proportional to 447.86, 668.27 and 404.12 is: 603.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.86 : 668.27 = 404.12 : x
  2. Step 2: Convert to fraction form
    447.86/668.27 = 404.12/x
  3. Step 3: Cross multiply
    447.86x = 668.27 × 404.12
  4. Step 4: Simplify right side
    447.86x = 270,063.95
  5. Step 5: Solve for x
    x = 270,063.95/447.86
  6. Step 6: Final answer
    x = 603.01

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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.