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Finding the Fourth Proportional to 406.72, 613.24 and 343.36

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Solution

The fourth proportional to 406.72, 613.24 and 343.36 is: 517.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.72 : 613.24 = 343.36 : x
  2. Step 2: Convert to fraction form
    406.72/613.24 = 343.36/x
  3. Step 3: Cross multiply
    406.72x = 613.24 × 343.36
  4. Step 4: Simplify right side
    406.72x = 210,562.09
  5. Step 5: Solve for x
    x = 210,562.09/406.72
  6. Step 6: Final answer
    x = 517.71

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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.