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Finding the Fourth Proportional to 827.68, 1,150.12 and 818.68

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Solution

The fourth proportional to 827.68, 1,150.12 and 818.68 is: 1,137.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.68 : 1,150.12 = 818.68 : x
  2. Step 2: Convert to fraction form
    827.68/1,150.12 = 818.68/x
  3. Step 3: Cross multiply
    827.68x = 1,150.12 × 818.68
  4. Step 4: Simplify right side
    827.68x = 941,580.24
  5. Step 5: Solve for x
    x = 941,580.24/827.68
  6. Step 6: Final answer
    x = 1,137.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.