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Finding the Fourth Proportional to 516.81, 774.85 and 414.06

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Solution

The fourth proportional to 516.81, 774.85 and 414.06 is: 620.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.81 : 774.85 = 414.06 : x
  2. Step 2: Convert to fraction form
    516.81/774.85 = 414.06/x
  3. Step 3: Cross multiply
    516.81x = 774.85 × 414.06
  4. Step 4: Simplify right side
    516.81x = 320,834.39
  5. Step 5: Solve for x
    x = 320,834.39/516.81
  6. Step 6: Final answer
    x = 620.80

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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.