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Finding the Fourth Proportional to 427.97, 637.47 and 422.30

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Solution

The fourth proportional to 427.97, 637.47 and 422.30 is: 629.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.97 : 637.47 = 422.30 : x
  2. Step 2: Convert to fraction form
    427.97/637.47 = 422.30/x
  3. Step 3: Cross multiply
    427.97x = 637.47 × 422.30
  4. Step 4: Simplify right side
    427.97x = 269,200.39
  5. Step 5: Solve for x
    x = 269,200.39/427.97
  6. Step 6: Final answer
    x = 629.02

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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.