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Finding the Fourth Proportional to 472.39, 649.37 and 422.07

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Solution

The fourth proportional to 472.39, 649.37 and 422.07 is: 580.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.39 : 649.37 = 422.07 : x
  2. Step 2: Convert to fraction form
    472.39/649.37 = 422.07/x
  3. Step 3: Cross multiply
    472.39x = 649.37 × 422.07
  4. Step 4: Simplify right side
    472.39x = 274,076.35
  5. Step 5: Solve for x
    x = 274,076.35/472.39
  6. Step 6: Final answer
    x = 580.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.