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Finding the Fourth Proportional to 834.08, 1,150.00 and 635.20

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Solution

The fourth proportional to 834.08, 1,150.00 and 635.20 is: 875.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.08 : 1,150.00 = 635.20 : x
  2. Step 2: Convert to fraction form
    834.08/1,150.00 = 635.20/x
  3. Step 3: Cross multiply
    834.08x = 1,150.00 × 635.20
  4. Step 4: Simplify right side
    834.08x = 730,475.54
  5. Step 5: Solve for x
    x = 730,475.54/834.08
  6. Step 6: Final answer
    x = 875.79

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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.