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Finding the Fourth Proportional to 471.10, 649.56 and 323.86

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Solution

The fourth proportional to 471.10, 649.56 and 323.86 is: 446.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.10 : 649.56 = 323.86 : x
  2. Step 2: Convert to fraction form
    471.10/649.56 = 323.86/x
  3. Step 3: Cross multiply
    471.10x = 649.56 × 323.86
  4. Step 4: Simplify right side
    471.10x = 210,366.50
  5. Step 5: Solve for x
    x = 210,366.50/471.10
  6. Step 6: Final answer
    x = 446.54

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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.