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Finding the Fourth Proportional to 550.20, 820.44 and 545.25

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Solution

The fourth proportional to 550.20, 820.44 and 545.25 is: 813.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.20 : 820.44 = 545.25 : x
  2. Step 2: Convert to fraction form
    550.20/820.44 = 545.25/x
  3. Step 3: Cross multiply
    550.20x = 820.44 × 545.25
  4. Step 4: Simplify right side
    550.20x = 447,344.91
  5. Step 5: Solve for x
    x = 447,344.91/550.20
  6. Step 6: Final answer
    x = 813.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.