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Finding the Fourth Proportional to 834.28, 1,156.87 and 806.61

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Solution

The fourth proportional to 834.28, 1,156.87 and 806.61 is: 1,118.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.28 : 1,156.87 = 806.61 : x
  2. Step 2: Convert to fraction form
    834.28/1,156.87 = 806.61/x
  3. Step 3: Cross multiply
    834.28x = 1,156.87 × 806.61
  4. Step 4: Simplify right side
    834.28x = 933,142.91
  5. Step 5: Solve for x
    x = 933,142.91/834.28
  6. Step 6: Final answer
    x = 1,118.50

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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.