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Finding the Fourth Proportional to 634.57, 951.84 and 287.83

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Solution

The fourth proportional to 634.57, 951.84 and 287.83 is: 431.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.57 : 951.84 = 287.83 : x
  2. Step 2: Convert to fraction form
    634.57/951.84 = 287.83/x
  3. Step 3: Cross multiply
    634.57x = 951.84 × 287.83
  4. Step 4: Simplify right side
    634.57x = 273,968.11
  5. Step 5: Solve for x
    x = 273,968.11/634.57
  6. Step 6: Final answer
    x = 431.74

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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.