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Finding the Fourth Proportional to 634.52, 952.11 and 288

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Solution

The fourth proportional to 634.52, 952.11 and 288 is: 432.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.52 : 952.11 = 288 : x
  2. Step 2: Convert to fraction form
    634.52/952.11 = 288/x
  3. Step 3: Cross multiply
    634.52x = 952.11 × 288
  4. Step 4: Simplify right side
    634.52x = 274,207.68
  5. Step 5: Solve for x
    x = 274,207.68/634.52
  6. Step 6: Final answer
    x = 432.15

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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.