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Finding the Fourth Proportional to 827.46, 1,138.86 and 606.06

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Solution

The fourth proportional to 827.46, 1,138.86 and 606.06 is: 834.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.46 : 1,138.86 = 606.06 : x
  2. Step 2: Convert to fraction form
    827.46/1,138.86 = 606.06/x
  3. Step 3: Cross multiply
    827.46x = 1,138.86 × 606.06
  4. Step 4: Simplify right side
    827.46x = 690,217.49
  5. Step 5: Solve for x
    x = 690,217.49/827.46
  6. Step 6: Final answer
    x = 834.14

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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.