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Finding the Fourth Proportional to 512.42, 768.62 and 348.94

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Solution

The fourth proportional to 512.42, 768.62 and 348.94 is: 523.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.42 : 768.62 = 348.94 : x
  2. Step 2: Convert to fraction form
    512.42/768.62 = 348.94/x
  3. Step 3: Cross multiply
    512.42x = 768.62 × 348.94
  4. Step 4: Simplify right side
    512.42x = 268,202.26
  5. Step 5: Solve for x
    x = 268,202.26/512.42
  6. Step 6: Final answer
    x = 523.40

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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.