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Finding the Fourth Proportional to 834.93, 1,251.02 and 286.81

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Solution

The fourth proportional to 834.93, 1,251.02 and 286.81 is: 429.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.93 : 1,251.02 = 286.81 : x
  2. Step 2: Convert to fraction form
    834.93/1,251.02 = 286.81/x
  3. Step 3: Cross multiply
    834.93x = 1,251.02 × 286.81
  4. Step 4: Simplify right side
    834.93x = 358,805.05
  5. Step 5: Solve for x
    x = 358,805.05/834.93
  6. Step 6: Final answer
    x = 429.74

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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.