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Finding the Fourth Proportional to 834.05, 1,250.40 and 347.46

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Solution

The fourth proportional to 834.05, 1,250.40 and 347.46 is: 520.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.05 : 1,250.40 = 347.46 : x
  2. Step 2: Convert to fraction form
    834.05/1,250.40 = 347.46/x
  3. Step 3: Cross multiply
    834.05x = 1,250.40 × 347.46
  4. Step 4: Simplify right side
    834.05x = 434,463.98
  5. Step 5: Solve for x
    x = 434,463.98/834.05
  6. Step 6: Final answer
    x = 520.91

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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.