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Finding the Fourth Proportional to 512.73, 772.34 and 506.34

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Solution

The fourth proportional to 512.73, 772.34 and 506.34 is: 762.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.73 : 772.34 = 506.34 : x
  2. Step 2: Convert to fraction form
    512.73/772.34 = 506.34/x
  3. Step 3: Cross multiply
    512.73x = 772.34 × 506.34
  4. Step 4: Simplify right side
    512.73x = 391,064.10
  5. Step 5: Solve for x
    x = 391,064.10/512.73
  6. Step 6: Final answer
    x = 762.71

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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.