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Finding the Fourth Proportional to 827.96, 1,240.86 and 620.60

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Solution

The fourth proportional to 827.96, 1,240.86 and 620.60 is: 930.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.96 : 1,240.86 = 620.60 : x
  2. Step 2: Convert to fraction form
    827.96/1,240.86 = 620.60/x
  3. Step 3: Cross multiply
    827.96x = 1,240.86 × 620.60
  4. Step 4: Simplify right side
    827.96x = 770,077.72
  5. Step 5: Solve for x
    x = 770,077.72/827.96
  6. Step 6: Final answer
    x = 930.09

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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.