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Finding the Fourth Proportional to 634.80, 952.08 and 309.96

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Solution

The fourth proportional to 634.80, 952.08 and 309.96 is: 464.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.80 : 952.08 = 309.96 : x
  2. Step 2: Convert to fraction form
    634.80/952.08 = 309.96/x
  3. Step 3: Cross multiply
    634.80x = 952.08 × 309.96
  4. Step 4: Simplify right side
    634.80x = 295,106.72
  5. Step 5: Solve for x
    x = 295,106.72/634.80
  6. Step 6: Final answer
    x = 464.88

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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.