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Finding the Fourth Proportional to 512.09, 772.41 and 512.09

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Solution

The fourth proportional to 512.09, 772.41 and 512.09 is: 772.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.09 : 772.41 = 512.09 : x
  2. Step 2: Convert to fraction form
    512.09/772.41 = 512.09/x
  3. Step 3: Cross multiply
    512.09x = 772.41 × 512.09
  4. Step 4: Simplify right side
    512.09x = 395,543.44
  5. Step 5: Solve for x
    x = 395,543.44/512.09
  6. Step 6: Final answer
    x = 772.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.