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Finding the Fourth Proportional to 517.26, 779.42 and 427.96

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Solution

The fourth proportional to 517.26, 779.42 and 427.96 is: 644.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.26 : 779.42 = 427.96 : x
  2. Step 2: Convert to fraction form
    517.26/779.42 = 427.96/x
  3. Step 3: Cross multiply
    517.26x = 779.42 × 427.96
  4. Step 4: Simplify right side
    517.26x = 333,560.58
  5. Step 5: Solve for x
    x = 333,560.58/517.26
  6. Step 6: Final answer
    x = 644.86

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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.