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Finding the Fourth Proportional to 471.74, 649.36 and 408.68

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Solution

The fourth proportional to 471.74, 649.36 and 408.68 is: 562.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.74 : 649.36 = 408.68 : x
  2. Step 2: Convert to fraction form
    471.74/649.36 = 408.68/x
  3. Step 3: Cross multiply
    471.74x = 649.36 × 408.68
  4. Step 4: Simplify right side
    471.74x = 265,380.44
  5. Step 5: Solve for x
    x = 265,380.44/471.74
  6. Step 6: Final answer
    x = 562.56

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