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Finding the Fourth Proportional to 471.56, 649.94 and 323.94

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Solution

The fourth proportional to 471.56, 649.94 and 323.94 is: 446.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.56 : 649.94 = 323.94 : x
  2. Step 2: Convert to fraction form
    471.56/649.94 = 323.94/x
  3. Step 3: Cross multiply
    471.56x = 649.94 × 323.94
  4. Step 4: Simplify right side
    471.56x = 210,542.37
  5. Step 5: Solve for x
    x = 210,542.37/471.56
  6. Step 6: Final answer
    x = 446.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.