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Finding the Fourth Proportional to 834.81, 1,254.65 and 402.27

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Solution

The fourth proportional to 834.81, 1,254.65 and 402.27 is: 604.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.81 : 1,254.65 = 402.27 : x
  2. Step 2: Convert to fraction form
    834.81/1,254.65 = 402.27/x
  3. Step 3: Cross multiply
    834.81x = 1,254.65 × 402.27
  4. Step 4: Simplify right side
    834.81x = 504,706.04
  5. Step 5: Solve for x
    x = 504,706.04/834.81
  6. Step 6: Final answer
    x = 604.58

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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.