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Finding the Fourth Proportional to 512.34, 767.76 and 388.41

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Solution

The fourth proportional to 512.34, 767.76 and 388.41 is: 582.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.34 : 767.76 = 388.41 : x
  2. Step 2: Convert to fraction form
    512.34/767.76 = 388.41/x
  3. Step 3: Cross multiply
    512.34x = 767.76 × 388.41
  4. Step 4: Simplify right side
    512.34x = 298,205.66
  5. Step 5: Solve for x
    x = 298,205.66/512.34
  6. Step 6: Final answer
    x = 582.05

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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.