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Finding the Fourth Proportional to 516.96, 774.23 and 414.34

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Solution

The fourth proportional to 516.96, 774.23 and 414.34 is: 620.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.96 : 774.23 = 414.34 : x
  2. Step 2: Convert to fraction form
    516.96/774.23 = 414.34/x
  3. Step 3: Cross multiply
    516.96x = 774.23 × 414.34
  4. Step 4: Simplify right side
    516.96x = 320,790.45
  5. Step 5: Solve for x
    x = 320,790.45/516.96
  6. Step 6: Final answer
    x = 620.53

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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.