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Finding the Fourth Proportional to 422.48, 628.74 and 408.98

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Solution

The fourth proportional to 422.48, 628.74 and 408.98 is: 608.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.48 : 628.74 = 408.98 : x
  2. Step 2: Convert to fraction form
    422.48/628.74 = 408.98/x
  3. Step 3: Cross multiply
    422.48x = 628.74 × 408.98
  4. Step 4: Simplify right side
    422.48x = 257,140.04
  5. Step 5: Solve for x
    x = 257,140.04/422.48
  6. Step 6: Final answer
    x = 608.64

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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.