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Finding the Fourth Proportional to 471.09, 705.49 and 324.43

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Solution

The fourth proportional to 471.09, 705.49 and 324.43 is: 485.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.09 : 705.49 = 324.43 : x
  2. Step 2: Convert to fraction form
    471.09/705.49 = 324.43/x
  3. Step 3: Cross multiply
    471.09x = 705.49 × 324.43
  4. Step 4: Simplify right side
    471.09x = 228,882.12
  5. Step 5: Solve for x
    x = 228,882.12/471.09
  6. Step 6: Final answer
    x = 485.86

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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.