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Finding the Fourth Proportional to 835.72, 1,251.78 and 812.68

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Solution

The fourth proportional to 835.72, 1,251.78 and 812.68 is: 1,217.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.72 : 1,251.78 = 812.68 : x
  2. Step 2: Convert to fraction form
    835.72/1,251.78 = 812.68/x
  3. Step 3: Cross multiply
    835.72x = 1,251.78 × 812.68
  4. Step 4: Simplify right side
    835.72x = 1,017,296.57
  5. Step 5: Solve for x
    x = 1,017,296.57/835.72
  6. Step 6: Final answer
    x = 1,217.27

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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.