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Finding the Fourth Proportional to 834.37, 1,251.55 and 347.42

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Solution

The fourth proportional to 834.37, 1,251.55 and 347.42 is: 521.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.37 : 1,251.55 = 347.42 : x
  2. Step 2: Convert to fraction form
    834.37/1,251.55 = 347.42/x
  3. Step 3: Cross multiply
    834.37x = 1,251.55 × 347.42
  4. Step 4: Simplify right side
    834.37x = 434,817.06
  5. Step 5: Solve for x
    x = 434,817.06/834.37
  6. Step 6: Final answer
    x = 521.13

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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.