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Finding the Fourth Proportional to 834.14, 1,150.37 and 539.10

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Solution

The fourth proportional to 834.14, 1,150.37 and 539.10 is: 743.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.14 : 1,150.37 = 539.10 : x
  2. Step 2: Convert to fraction form
    834.14/1,150.37 = 539.10/x
  3. Step 3: Cross multiply
    834.14x = 1,150.37 × 539.10
  4. Step 4: Simplify right side
    834.14x = 620,161.77
  5. Step 5: Solve for x
    x = 620,161.77/834.14
  6. Step 6: Final answer
    x = 743.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.