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Finding the Fourth Proportional to 834.11, 1,249.80 and 286.00

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Solution

The fourth proportional to 834.11, 1,249.80 and 286.00 is: 428.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.11 : 1,249.80 = 286.00 : x
  2. Step 2: Convert to fraction form
    834.11/1,249.80 = 286.00/x
  3. Step 3: Cross multiply
    834.11x = 1,249.80 × 286.00
  4. Step 4: Simplify right side
    834.11x = 357,440.21
  5. Step 5: Solve for x
    x = 357,440.21/834.11
  6. Step 6: Final answer
    x = 428.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.