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Finding the Fourth Proportional to 634.61, 951.90 and 326.28

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Solution

The fourth proportional to 634.61, 951.90 and 326.28 is: 489.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.61 : 951.90 = 326.28 : x
  2. Step 2: Convert to fraction form
    634.61/951.90 = 326.28/x
  3. Step 3: Cross multiply
    634.61x = 951.90 × 326.28
  4. Step 4: Simplify right side
    634.61x = 310,590.11
  5. Step 5: Solve for x
    x = 310,590.11/634.61
  6. Step 6: Final answer
    x = 489.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.