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Finding the Fourth Proportional to 836.25, 1,257.23 and 683.29

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Solution

The fourth proportional to 836.25, 1,257.23 and 683.29 is: 1,027.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.25 : 1,257.23 = 683.29 : x
  2. Step 2: Convert to fraction form
    836.25/1,257.23 = 683.29/x
  3. Step 3: Cross multiply
    836.25x = 1,257.23 × 683.29
  4. Step 4: Simplify right side
    836.25x = 859,046.13
  5. Step 5: Solve for x
    x = 859,046.13/836.25
  6. Step 6: Final answer
    x = 1,027.26

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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.