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Finding the Fourth Proportional to 447.12, 667.44 and 440.64

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Solution

The fourth proportional to 447.12, 667.44 and 440.64 is: 657.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.12 : 667.44 = 440.64 : x
  2. Step 2: Convert to fraction form
    447.12/667.44 = 440.64/x
  3. Step 3: Cross multiply
    447.12x = 667.44 × 440.64
  4. Step 4: Simplify right side
    447.12x = 294,100.76
  5. Step 5: Solve for x
    x = 294,100.76/447.12
  6. Step 6: Final answer
    x = 657.77

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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.