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Finding the Fourth Proportional to 837.20, 1,255.80 and 550.16

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Solution

The fourth proportional to 837.20, 1,255.80 and 550.16 is: 825.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.20 : 1,255.80 = 550.16 : x
  2. Step 2: Convert to fraction form
    837.20/1,255.80 = 550.16/x
  3. Step 3: Cross multiply
    837.20x = 1,255.80 × 550.16
  4. Step 4: Simplify right side
    837.20x = 690,890.93
  5. Step 5: Solve for x
    x = 690,890.93/837.20
  6. Step 6: Final answer
    x = 825.24

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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.