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Finding the Fourth Proportional to 471.48, 649.02 and 408.44

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Solution

The fourth proportional to 471.48, 649.02 and 408.44 is: 562.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.48 : 649.02 = 408.44 : x
  2. Step 2: Convert to fraction form
    471.48/649.02 = 408.44/x
  3. Step 3: Cross multiply
    471.48x = 649.02 × 408.44
  4. Step 4: Simplify right side
    471.48x = 265,085.73
  5. Step 5: Solve for x
    x = 265,085.73/471.48
  6. Step 6: Final answer
    x = 562.24

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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.