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Finding the Fourth Proportional to 834.40, 1,241.72 and 825.76

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Solution

The fourth proportional to 834.40, 1,241.72 and 825.76 is: 1,228.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.40 : 1,241.72 = 825.76 : x
  2. Step 2: Convert to fraction form
    834.40/1,241.72 = 825.76/x
  3. Step 3: Cross multiply
    834.40x = 1,241.72 × 825.76
  4. Step 4: Simplify right side
    834.40x = 1,025,362.71
  5. Step 5: Solve for x
    x = 1,025,362.71/834.40
  6. Step 6: Final answer
    x = 1,228.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.