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Finding the Fourth Proportional to 550.36, 824.64 and 396.04

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Solution

The fourth proportional to 550.36, 824.64 and 396.04 is: 593.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.36 : 824.64 = 396.04 : x
  2. Step 2: Convert to fraction form
    550.36/824.64 = 396.04/x
  3. Step 3: Cross multiply
    550.36x = 824.64 × 396.04
  4. Step 4: Simplify right side
    550.36x = 326,590.43
  5. Step 5: Solve for x
    x = 326,590.43/550.36
  6. Step 6: Final answer
    x = 593.41

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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.