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Finding the Fourth Proportional to 447.96, 671.40 and 393.96

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Solution

The fourth proportional to 447.96, 671.40 and 393.96 is: 590.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.96 : 671.40 = 393.96 : x
  2. Step 2: Convert to fraction form
    447.96/671.40 = 393.96/x
  3. Step 3: Cross multiply
    447.96x = 671.40 × 393.96
  4. Step 4: Simplify right side
    447.96x = 264,504.74
  5. Step 5: Solve for x
    x = 264,504.74/447.96
  6. Step 6: Final answer
    x = 590.47

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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.