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Finding the Fourth Proportional to 813.24, 1,121.64 and 550.80

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Solution

The fourth proportional to 813.24, 1,121.64 and 550.80 is: 759.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.24 : 1,121.64 = 550.80 : x
  2. Step 2: Convert to fraction form
    813.24/1,121.64 = 550.80/x
  3. Step 3: Cross multiply
    813.24x = 1,121.64 × 550.80
  4. Step 4: Simplify right side
    813.24x = 617,799.31
  5. Step 5: Solve for x
    x = 617,799.31/813.24
  6. Step 6: Final answer
    x = 759.68

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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.