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Finding the Fourth Proportional to 834.28, 1,251.43 and 347.35

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Solution

The fourth proportional to 834.28, 1,251.43 and 347.35 is: 521.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.28 : 1,251.43 = 347.35 : x
  2. Step 2: Convert to fraction form
    834.28/1,251.43 = 347.35/x
  3. Step 3: Cross multiply
    834.28x = 1,251.43 × 347.35
  4. Step 4: Simplify right side
    834.28x = 434,684.21
  5. Step 5: Solve for x
    x = 434,684.21/834.28
  6. Step 6: Final answer
    x = 521.03

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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.