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Finding the Fourth Proportional to 423.80, 627.06 and 422.60

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Solution

The fourth proportional to 423.80, 627.06 and 422.60 is: 625.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.80 : 627.06 = 422.60 : x
  2. Step 2: Convert to fraction form
    423.80/627.06 = 422.60/x
  3. Step 3: Cross multiply
    423.80x = 627.06 × 422.60
  4. Step 4: Simplify right side
    423.80x = 264,995.56
  5. Step 5: Solve for x
    x = 264,995.56/423.80
  6. Step 6: Final answer
    x = 625.28

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.