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Finding the Fourth Proportional to 834.24, 1,150.85 and 550.94

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Solution

The fourth proportional to 834.24, 1,150.85 and 550.94 is: 760.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.24 : 1,150.85 = 550.94 : x
  2. Step 2: Convert to fraction form
    834.24/1,150.85 = 550.94/x
  3. Step 3: Cross multiply
    834.24x = 1,150.85 × 550.94
  4. Step 4: Simplify right side
    834.24x = 634,046.54
  5. Step 5: Solve for x
    x = 634,046.54/834.24
  6. Step 6: Final answer
    x = 760.03

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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.