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Finding the Fourth Proportional to 834.50, 1,252.55 and 682.28

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Solution

The fourth proportional to 834.50, 1,252.55 and 682.28 is: 1,024.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.50 : 1,252.55 = 682.28 : x
  2. Step 2: Convert to fraction form
    834.50/1,252.55 = 682.28/x
  3. Step 3: Cross multiply
    834.50x = 1,252.55 × 682.28
  4. Step 4: Simplify right side
    834.50x = 854,594.65
  5. Step 5: Solve for x
    x = 854,594.65/834.50
  6. Step 6: Final answer
    x = 1,024.09

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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.