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Finding the Fourth Proportional to 836.73, 1,252.26 and 512.33

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Solution

The fourth proportional to 836.73, 1,252.26 and 512.33 is: 766.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.73 : 1,252.26 = 512.33 : x
  2. Step 2: Convert to fraction form
    836.73/1,252.26 = 512.33/x
  3. Step 3: Cross multiply
    836.73x = 1,252.26 × 512.33
  4. Step 4: Simplify right side
    836.73x = 641,564.10
  5. Step 5: Solve for x
    x = 641,564.10/836.73
  6. Step 6: Final answer
    x = 766.75

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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.