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Finding the Fourth Proportional to 517.22, 770.84 and 512.91

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Solution

The fourth proportional to 517.22, 770.84 and 512.91 is: 764.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.22 : 770.84 = 512.91 : x
  2. Step 2: Convert to fraction form
    517.22/770.84 = 512.91/x
  3. Step 3: Cross multiply
    517.22x = 770.84 × 512.91
  4. Step 4: Simplify right side
    517.22x = 395,370.90
  5. Step 5: Solve for x
    x = 395,370.90/517.22
  6. Step 6: Final answer
    x = 764.42

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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.