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Finding the Fourth Proportional to 550.00, 822.83 and 425.63

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Solution

The fourth proportional to 550.00, 822.83 and 425.63 is: 636.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.00 : 822.83 = 425.63 : x
  2. Step 2: Convert to fraction form
    550.00/822.83 = 425.63/x
  3. Step 3: Cross multiply
    550.00x = 822.83 × 425.63
  4. Step 4: Simplify right side
    550.00x = 350,214.89
  5. Step 5: Solve for x
    x = 350,214.89/550.00
  6. Step 6: Final answer
    x = 636.76

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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.