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Finding the Fourth Proportional to 471.45, 649.88 and 371.68

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Solution

The fourth proportional to 471.45, 649.88 and 371.68 is: 512.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.45 : 649.88 = 371.68 : x
  2. Step 2: Convert to fraction form
    471.45/649.88 = 371.68/x
  3. Step 3: Cross multiply
    471.45x = 649.88 × 371.68
  4. Step 4: Simplify right side
    471.45x = 241,542.29
  5. Step 5: Solve for x
    x = 241,542.29/471.45
  6. Step 6: Final answer
    x = 512.34

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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.