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Finding the Fourth Proportional to 447.24, 667.14 and 439.81

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Solution

The fourth proportional to 447.24, 667.14 and 439.81 is: 656.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.24 : 667.14 = 439.81 : x
  2. Step 2: Convert to fraction form
    447.24/667.14 = 439.81/x
  3. Step 3: Cross multiply
    447.24x = 667.14 × 439.81
  4. Step 4: Simplify right side
    447.24x = 293,413.74
  5. Step 5: Solve for x
    x = 293,413.74/447.24
  6. Step 6: Final answer
    x = 656.06

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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.