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Finding the Fourth Proportional to 550.54, 827.03 and 533.26

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Solution

The fourth proportional to 550.54, 827.03 and 533.26 is: 801.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.54 : 827.03 = 533.26 : x
  2. Step 2: Convert to fraction form
    550.54/827.03 = 533.26/x
  3. Step 3: Cross multiply
    550.54x = 827.03 × 533.26
  4. Step 4: Simplify right side
    550.54x = 441,022.02
  5. Step 5: Solve for x
    x = 441,022.02/550.54
  6. Step 6: Final answer
    x = 801.07

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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.