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Finding the Fourth Proportional to 528.14, 791.76 and 311.42

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Solution

The fourth proportional to 528.14, 791.76 and 311.42 is: 466.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.14 : 791.76 = 311.42 : x
  2. Step 2: Convert to fraction form
    528.14/791.76 = 311.42/x
  3. Step 3: Cross multiply
    528.14x = 791.76 × 311.42
  4. Step 4: Simplify right side
    528.14x = 246,569.90
  5. Step 5: Solve for x
    x = 246,569.90/528.14
  6. Step 6: Final answer
    x = 466.86

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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.