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Finding the Fourth Proportional to 827.67, 1,143.16 and 757.81

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Solution

The fourth proportional to 827.67, 1,143.16 and 757.81 is: 1,046.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.67 : 1,143.16 = 757.81 : x
  2. Step 2: Convert to fraction form
    827.67/1,143.16 = 757.81/x
  3. Step 3: Cross multiply
    827.67x = 1,143.16 × 757.81
  4. Step 4: Simplify right side
    827.67x = 866,295.45
  5. Step 5: Solve for x
    x = 866,295.45/827.67
  6. Step 6: Final answer
    x = 1,046.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.