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Finding the Fourth Proportional to 516.72, 774.18 and 418.68

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Solution

The fourth proportional to 516.72, 774.18 and 418.68 is: 627.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.72 : 774.18 = 418.68 : x
  2. Step 2: Convert to fraction form
    516.72/774.18 = 418.68/x
  3. Step 3: Cross multiply
    516.72x = 774.18 × 418.68
  4. Step 4: Simplify right side
    516.72x = 324,133.68
  5. Step 5: Solve for x
    x = 324,133.68/516.72
  6. Step 6: Final answer
    x = 627.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.