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Finding the Fourth Proportional to 518.58, 771.53 and 514.62

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Solution

The fourth proportional to 518.58, 771.53 and 514.62 is: 765.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.58 : 771.53 = 514.62 : x
  2. Step 2: Convert to fraction form
    518.58/771.53 = 514.62/x
  3. Step 3: Cross multiply
    518.58x = 771.53 × 514.62
  4. Step 4: Simplify right side
    518.58x = 397,042.20
  5. Step 5: Solve for x
    x = 397,042.20/518.58
  6. Step 6: Final answer
    x = 765.63

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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.