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Finding the Fourth Proportional to 634.17, 951.27 and 287.45

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Solution

The fourth proportional to 634.17, 951.27 and 287.45 is: 431.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.17 : 951.27 = 287.45 : x
  2. Step 2: Convert to fraction form
    634.17/951.27 = 287.45/x
  3. Step 3: Cross multiply
    634.17x = 951.27 × 287.45
  4. Step 4: Simplify right side
    634.17x = 273,438.88
  5. Step 5: Solve for x
    x = 273,438.88/634.17
  6. Step 6: Final answer
    x = 431.17

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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.