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Finding the Fourth Proportional to 517.34, 774.82 and 311.46

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Solution

The fourth proportional to 517.34, 774.82 and 311.46 is: 466.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.34 : 774.82 = 311.46 : x
  2. Step 2: Convert to fraction form
    517.34/774.82 = 311.46/x
  3. Step 3: Cross multiply
    517.34x = 774.82 × 311.46
  4. Step 4: Simplify right side
    517.34x = 241,325.44
  5. Step 5: Solve for x
    x = 241,325.44/517.34
  6. Step 6: Final answer
    x = 466.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.