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Finding the Fourth Proportional to 422.46, 637.52 and 407.97

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Solution

The fourth proportional to 422.46, 637.52 and 407.97 is: 615.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.46 : 637.52 = 407.97 : x
  2. Step 2: Convert to fraction form
    422.46/637.52 = 407.97/x
  3. Step 3: Cross multiply
    422.46x = 637.52 × 407.97
  4. Step 4: Simplify right side
    422.46x = 260,086.99
  5. Step 5: Solve for x
    x = 260,086.99/422.46
  6. Step 6: Final answer
    x = 615.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.