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Finding the Fourth Proportional to 634.13, 951.49 and 309.32

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Solution

The fourth proportional to 634.13, 951.49 and 309.32 is: 464.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.13 : 951.49 = 309.32 : x
  2. Step 2: Convert to fraction form
    634.13/951.49 = 309.32/x
  3. Step 3: Cross multiply
    634.13x = 951.49 × 309.32
  4. Step 4: Simplify right side
    634.13x = 294,310.13
  5. Step 5: Solve for x
    x = 294,310.13/634.13
  6. Step 6: Final answer
    x = 464.12

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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.