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Finding the Fourth Proportional to 447.42, 673.71 and 326.52

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Solution

The fourth proportional to 447.42, 673.71 and 326.52 is: 491.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.42 : 673.71 = 326.52 : x
  2. Step 2: Convert to fraction form
    447.42/673.71 = 326.52/x
  3. Step 3: Cross multiply
    447.42x = 673.71 × 326.52
  4. Step 4: Simplify right side
    447.42x = 219,979.79
  5. Step 5: Solve for x
    x = 219,979.79/447.42
  6. Step 6: Final answer
    x = 491.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.