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Finding the Fourth Proportional to 518.73, 774.37 and 513.60

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Solution

The fourth proportional to 518.73, 774.37 and 513.60 is: 766.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.73 : 774.37 = 513.60 : x
  2. Step 2: Convert to fraction form
    518.73/774.37 = 513.60/x
  3. Step 3: Cross multiply
    518.73x = 774.37 × 513.60
  4. Step 4: Simplify right side
    518.73x = 397,716.43
  5. Step 5: Solve for x
    x = 397,716.43/518.73
  6. Step 6: Final answer
    x = 766.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.