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Finding the Fourth Proportional to 827.67, 1,238.94 and 518.46

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Solution

The fourth proportional to 827.67, 1,238.94 and 518.46 is: 776.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.67 : 1,238.94 = 518.46 : x
  2. Step 2: Convert to fraction form
    827.67/1,238.94 = 518.46/x
  3. Step 3: Cross multiply
    827.67x = 1,238.94 × 518.46
  4. Step 4: Simplify right side
    827.67x = 642,340.83
  5. Step 5: Solve for x
    x = 642,340.83/827.67
  6. Step 6: Final answer
    x = 776.08

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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.