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Finding the Fourth Proportional to 512.50, 772.92 and 472.41

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Solution

The fourth proportional to 512.50, 772.92 and 472.41 is: 712.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.50 : 772.92 = 472.41 : x
  2. Step 2: Convert to fraction form
    512.50/772.92 = 472.41/x
  3. Step 3: Cross multiply
    512.50x = 772.92 × 472.41
  4. Step 4: Simplify right side
    512.50x = 365,135.14
  5. Step 5: Solve for x
    x = 365,135.14/512.50
  6. Step 6: Final answer
    x = 712.46

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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.