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Finding the Fourth Proportional to 512.42, 766.35 and 387.44

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Solution

The fourth proportional to 512.42, 766.35 and 387.44 is: 579.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.42 : 766.35 = 387.44 : x
  2. Step 2: Convert to fraction form
    512.42/766.35 = 387.44/x
  3. Step 3: Cross multiply
    512.42x = 766.35 × 387.44
  4. Step 4: Simplify right side
    512.42x = 296,910.81
  5. Step 5: Solve for x
    x = 296,910.81/512.42
  6. Step 6: Final answer
    x = 579.43

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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.