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Finding the Fourth Proportional to 617.22, 850.95 and 516.33

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Solution

The fourth proportional to 617.22, 850.95 and 516.33 is: 711.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.22 : 850.95 = 516.33 : x
  2. Step 2: Convert to fraction form
    617.22/850.95 = 516.33/x
  3. Step 3: Cross multiply
    617.22x = 850.95 × 516.33
  4. Step 4: Simplify right side
    617.22x = 439,371.01
  5. Step 5: Solve for x
    x = 439,371.01/617.22
  6. Step 6: Final answer
    x = 711.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.