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Finding the Fourth Proportional to 559.26, 771.84 and 338.22

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Solution

The fourth proportional to 559.26, 771.84 and 338.22 is: 466.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.26 : 771.84 = 338.22 : x
  2. Step 2: Convert to fraction form
    559.26/771.84 = 338.22/x
  3. Step 3: Cross multiply
    559.26x = 771.84 × 338.22
  4. Step 4: Simplify right side
    559.26x = 261,051.72
  5. Step 5: Solve for x
    x = 261,051.72/559.26
  6. Step 6: Final answer
    x = 466.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.