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Finding the Fourth Proportional to 421.20, 626.82 and 416.88

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Solution

The fourth proportional to 421.20, 626.82 and 416.88 is: 620.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.20 : 626.82 = 416.88 : x
  2. Step 2: Convert to fraction form
    421.20/626.82 = 416.88/x
  3. Step 3: Cross multiply
    421.20x = 626.82 × 416.88
  4. Step 4: Simplify right side
    421.20x = 261,308.72
  5. Step 5: Solve for x
    x = 261,308.72/421.20
  6. Step 6: Final answer
    x = 620.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.