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Finding the Fourth Proportional to 638.35, 880.89 and 372.82

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Solution

The fourth proportional to 638.35, 880.89 and 372.82 is: 514.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.35 : 880.89 = 372.82 : x
  2. Step 2: Convert to fraction form
    638.35/880.89 = 372.82/x
  3. Step 3: Cross multiply
    638.35x = 880.89 × 372.82
  4. Step 4: Simplify right side
    638.35x = 328,413.41
  5. Step 5: Solve for x
    x = 328,413.41/638.35
  6. Step 6: Final answer
    x = 514.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.