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Finding the Fourth Proportional to 550.20, 829.43 and 545.34

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Solution

The fourth proportional to 550.20, 829.43 and 545.34 is: 822.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.20 : 829.43 = 545.34 : x
  2. Step 2: Convert to fraction form
    550.20/829.43 = 545.34/x
  3. Step 3: Cross multiply
    550.20x = 829.43 × 545.34
  4. Step 4: Simplify right side
    550.20x = 452,318.63
  5. Step 5: Solve for x
    x = 452,318.63/550.20
  6. Step 6: Final answer
    x = 822.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.