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Finding the Fourth Proportional to 470.56, 649.32 and 323.44

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Solution

The fourth proportional to 470.56, 649.32 and 323.44 is: 446.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.56 : 649.32 = 323.44 : x
  2. Step 2: Convert to fraction form
    470.56/649.32 = 323.44/x
  3. Step 3: Cross multiply
    470.56x = 649.32 × 323.44
  4. Step 4: Simplify right side
    470.56x = 210,016.06
  5. Step 5: Solve for x
    x = 210,016.06/470.56
  6. Step 6: Final answer
    x = 446.31

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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.