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Finding the Fourth Proportional to 550.25, 824.42 and 395.43

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Solution

The fourth proportional to 550.25, 824.42 and 395.43 is: 592.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.25 : 824.42 = 395.43 : x
  2. Step 2: Convert to fraction form
    550.25/824.42 = 395.43/x
  3. Step 3: Cross multiply
    550.25x = 824.42 × 395.43
  4. Step 4: Simplify right side
    550.25x = 325,998.42
  5. Step 5: Solve for x
    x = 325,998.42/550.25
  6. Step 6: Final answer
    x = 592.46

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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.