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Finding the Fourth Proportional to 626.87, 938.94 and 516.84

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Solution

The fourth proportional to 626.87, 938.94 and 516.84 is: 774.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.87 : 938.94 = 516.84 : x
  2. Step 2: Convert to fraction form
    626.87/938.94 = 516.84/x
  3. Step 3: Cross multiply
    626.87x = 938.94 × 516.84
  4. Step 4: Simplify right side
    626.87x = 485,281.75
  5. Step 5: Solve for x
    x = 485,281.75/626.87
  6. Step 6: Final answer
    x = 774.13

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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.