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Finding the Fourth Proportional to 518.22, 772.65 and 512.82

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Solution

The fourth proportional to 518.22, 772.65 and 512.82 is: 764.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.22 : 772.65 = 512.82 : x
  2. Step 2: Convert to fraction form
    518.22/772.65 = 512.82/x
  3. Step 3: Cross multiply
    518.22x = 772.65 × 512.82
  4. Step 4: Simplify right side
    518.22x = 396,230.37
  5. Step 5: Solve for x
    x = 396,230.37/518.22
  6. Step 6: Final answer
    x = 764.60

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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.