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Finding the Fourth Proportional to 427.50, 637.41 and 422.04

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Solution

The fourth proportional to 427.50, 637.41 and 422.04 is: 629.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.50 : 637.41 = 422.04 : x
  2. Step 2: Convert to fraction form
    427.50/637.41 = 422.04/x
  3. Step 3: Cross multiply
    427.50x = 637.41 × 422.04
  4. Step 4: Simplify right side
    427.50x = 269,012.52
  5. Step 5: Solve for x
    x = 269,012.52/427.50
  6. Step 6: Final answer
    x = 629.27

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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.