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Finding the Fourth Proportional to 834.36, 1,250.18 and 286.25

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Solution

The fourth proportional to 834.36, 1,250.18 and 286.25 is: 428.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.36 : 1,250.18 = 286.25 : x
  2. Step 2: Convert to fraction form
    834.36/1,250.18 = 286.25/x
  3. Step 3: Cross multiply
    834.36x = 1,250.18 × 286.25
  4. Step 4: Simplify right side
    834.36x = 357,864.03
  5. Step 5: Solve for x
    x = 357,864.03/834.36
  6. Step 6: Final answer
    x = 428.91

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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.