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Finding the Fourth Proportional to 471.17, 649.94 and 331.49

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Solution

The fourth proportional to 471.17, 649.94 and 331.49 is: 457.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.17 : 649.94 = 331.49 : x
  2. Step 2: Convert to fraction form
    471.17/649.94 = 331.49/x
  3. Step 3: Cross multiply
    471.17x = 649.94 × 331.49
  4. Step 4: Simplify right side
    471.17x = 215,443.70
  5. Step 5: Solve for x
    x = 215,443.70/471.17
  6. Step 6: Final answer
    x = 457.26

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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.