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Finding the Fourth Proportional to 834.04, 1,150.60 and 550.09

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Solution

The fourth proportional to 834.04, 1,150.60 and 550.09 is: 758.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.04 : 1,150.60 = 550.09 : x
  2. Step 2: Convert to fraction form
    834.04/1,150.60 = 550.09/x
  3. Step 3: Cross multiply
    834.04x = 1,150.60 × 550.09
  4. Step 4: Simplify right side
    834.04x = 632,933.55
  5. Step 5: Solve for x
    x = 632,933.55/834.04
  6. Step 6: Final answer
    x = 758.88

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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.