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Finding the Fourth Proportional to 423.87, 630.63 and 422.43

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Solution

The fourth proportional to 423.87, 630.63 and 422.43 is: 628.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.87 : 630.63 = 422.43 : x
  2. Step 2: Convert to fraction form
    423.87/630.63 = 422.43/x
  3. Step 3: Cross multiply
    423.87x = 630.63 × 422.43
  4. Step 4: Simplify right side
    423.87x = 266,397.03
  5. Step 5: Solve for x
    x = 266,397.03/423.87
  6. Step 6: Final answer
    x = 628.49

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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.