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Finding the Fourth Proportional to 471.69, 649.62 and 380.16

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Solution

The fourth proportional to 471.69, 649.62 and 380.16 is: 523.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.69 : 649.62 = 380.16 : x
  2. Step 2: Convert to fraction form
    471.69/649.62 = 380.16/x
  3. Step 3: Cross multiply
    471.69x = 649.62 × 380.16
  4. Step 4: Simplify right side
    471.69x = 246,959.54
  5. Step 5: Solve for x
    x = 246,959.54/471.69
  6. Step 6: Final answer
    x = 523.56

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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.