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Finding the Fourth Proportional to 518.44, 771.23 and 513.22

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Solution

The fourth proportional to 518.44, 771.23 and 513.22 is: 763.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.44 : 771.23 = 513.22 : x
  2. Step 2: Convert to fraction form
    518.44/771.23 = 513.22/x
  3. Step 3: Cross multiply
    518.44x = 771.23 × 513.22
  4. Step 4: Simplify right side
    518.44x = 395,810.66
  5. Step 5: Solve for x
    x = 395,810.66/518.44
  6. Step 6: Final answer
    x = 763.46

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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.