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Finding the Fourth Proportional to 827.91, 1,236.33 and 785.79

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Solution

The fourth proportional to 827.91, 1,236.33 and 785.79 is: 1,173.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.91 : 1,236.33 = 785.79 : x
  2. Step 2: Convert to fraction form
    827.91/1,236.33 = 785.79/x
  3. Step 3: Cross multiply
    827.91x = 1,236.33 × 785.79
  4. Step 4: Simplify right side
    827.91x = 971,495.75
  5. Step 5: Solve for x
    x = 971,495.75/827.91
  6. Step 6: Final answer
    x = 1,173.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.