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Finding the Fourth Proportional to 613.80, 845.10 and 516.60

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Solution

The fourth proportional to 613.80, 845.10 and 516.60 is: 711.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.80 : 845.10 = 516.60 : x
  2. Step 2: Convert to fraction form
    613.80/845.10 = 516.60/x
  3. Step 3: Cross multiply
    613.80x = 845.10 × 516.60
  4. Step 4: Simplify right side
    613.80x = 436,578.66
  5. Step 5: Solve for x
    x = 436,578.66/613.80
  6. Step 6: Final answer
    x = 711.27

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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.