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Finding the Fourth Proportional to 429.11, 635.61 and 424.25

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Solution

The fourth proportional to 429.11, 635.61 and 424.25 is: 628.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.11 : 635.61 = 424.25 : x
  2. Step 2: Convert to fraction form
    429.11/635.61 = 424.25/x
  3. Step 3: Cross multiply
    429.11x = 635.61 × 424.25
  4. Step 4: Simplify right side
    429.11x = 269,654.36
  5. Step 5: Solve for x
    x = 269,654.36/429.11
  6. Step 6: Final answer
    x = 628.41

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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.