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Finding the Fourth Proportional to 472.14, 649.03 and 421.82

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Solution

The fourth proportional to 472.14, 649.03 and 421.82 is: 579.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.14 : 649.03 = 421.82 : x
  2. Step 2: Convert to fraction form
    472.14/649.03 = 421.82/x
  3. Step 3: Cross multiply
    472.14x = 649.03 × 421.82
  4. Step 4: Simplify right side
    472.14x = 273,769.53
  5. Step 5: Solve for x
    x = 273,769.53/472.14
  6. Step 6: Final answer
    x = 579.85

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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.