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Finding the Fourth Proportional to 634.31, 948.96 and 480.68

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Solution

The fourth proportional to 634.31, 948.96 and 480.68 is: 719.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.31 : 948.96 = 480.68 : x
  2. Step 2: Convert to fraction form
    634.31/948.96 = 480.68/x
  3. Step 3: Cross multiply
    634.31x = 948.96 × 480.68
  4. Step 4: Simplify right side
    634.31x = 456,146.09
  5. Step 5: Solve for x
    x = 456,146.09/634.31
  6. Step 6: Final answer
    x = 719.12

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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.