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Finding the Fourth Proportional to 427.60, 640.44 and 418.48

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Solution

The fourth proportional to 427.60, 640.44 and 418.48 is: 626.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.60 : 640.44 = 418.48 : x
  2. Step 2: Convert to fraction form
    427.60/640.44 = 418.48/x
  3. Step 3: Cross multiply
    427.60x = 640.44 × 418.48
  4. Step 4: Simplify right side
    427.60x = 268,011.33
  5. Step 5: Solve for x
    x = 268,011.33/427.60
  6. Step 6: Final answer
    x = 626.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.