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Finding the Fourth Proportional to 908.69, 1,363.13 and 323.64

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Solution

The fourth proportional to 908.69, 1,363.13 and 323.64 is: 485.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.69 : 1,363.13 = 323.64 : x
  2. Step 2: Convert to fraction form
    908.69/1,363.13 = 323.64/x
  3. Step 3: Cross multiply
    908.69x = 1,363.13 × 323.64
  4. Step 4: Simplify right side
    908.69x = 441,163.39
  5. Step 5: Solve for x
    x = 441,163.39/908.69
  6. Step 6: Final answer
    x = 485.49

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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.