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Finding the Fourth Proportional to 429.38, 638.91 and 427.94

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Solution

The fourth proportional to 429.38, 638.91 and 427.94 is: 636.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.38 : 638.91 = 427.94 : x
  2. Step 2: Convert to fraction form
    429.38/638.91 = 427.94/x
  3. Step 3: Cross multiply
    429.38x = 638.91 × 427.94
  4. Step 4: Simplify right side
    429.38x = 273,413.01
  5. Step 5: Solve for x
    x = 273,413.01/429.38
  6. Step 6: Final answer
    x = 636.76

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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.