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Finding the Fourth Proportional to 425.20, 633.08 and 422.80

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Solution

The fourth proportional to 425.20, 633.08 and 422.80 is: 629.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.20 : 633.08 = 422.80 : x
  2. Step 2: Convert to fraction form
    425.20/633.08 = 422.80/x
  3. Step 3: Cross multiply
    425.20x = 633.08 × 422.80
  4. Step 4: Simplify right side
    425.20x = 267,666.22
  5. Step 5: Solve for x
    x = 267,666.22/425.20
  6. Step 6: Final answer
    x = 629.51

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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.