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Finding the Fourth Proportional to 523.86, 786.39 and 408.43

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Solution

The fourth proportional to 523.86, 786.39 and 408.43 is: 613.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.86 : 786.39 = 408.43 : x
  2. Step 2: Convert to fraction form
    523.86/786.39 = 408.43/x
  3. Step 3: Cross multiply
    523.86x = 786.39 × 408.43
  4. Step 4: Simplify right side
    523.86x = 321,185.27
  5. Step 5: Solve for x
    x = 321,185.27/523.86
  6. Step 6: Final answer
    x = 613.11

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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.