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Finding the Fourth Proportional to 632.15, 948.26 and 323.81

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Solution

The fourth proportional to 632.15, 948.26 and 323.81 is: 485.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.15 : 948.26 = 323.81 : x
  2. Step 2: Convert to fraction form
    632.15/948.26 = 323.81/x
  3. Step 3: Cross multiply
    632.15x = 948.26 × 323.81
  4. Step 4: Simplify right side
    632.15x = 307,059.21
  5. Step 5: Solve for x
    x = 307,059.21/632.15
  6. Step 6: Final answer
    x = 485.73

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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.