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Finding the Fourth Proportional to 827.30, 1,147.15 and 799.62

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Solution

The fourth proportional to 827.30, 1,147.15 and 799.62 is: 1,108.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.30 : 1,147.15 = 799.62 : x
  2. Step 2: Convert to fraction form
    827.30/1,147.15 = 799.62/x
  3. Step 3: Cross multiply
    827.30x = 1,147.15 × 799.62
  4. Step 4: Simplify right side
    827.30x = 917,286.11
  5. Step 5: Solve for x
    x = 917,286.11/827.30
  6. Step 6: Final answer
    x = 1,108.77

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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.