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Finding the Fourth Proportional to 484.39, 727.19 and 447.94

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Solution

The fourth proportional to 484.39, 727.19 and 447.94 is: 672.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.39 : 727.19 = 447.94 : x
  2. Step 2: Convert to fraction form
    484.39/727.19 = 447.94/x
  3. Step 3: Cross multiply
    484.39x = 727.19 × 447.94
  4. Step 4: Simplify right side
    484.39x = 325,737.49
  5. Step 5: Solve for x
    x = 325,737.49/484.39
  6. Step 6: Final answer
    x = 672.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.