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Finding the Fourth Proportional to 632.28, 948.71 and 285.43

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Solution

The fourth proportional to 632.28, 948.71 and 285.43 is: 428.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.28 : 948.71 = 285.43 : x
  2. Step 2: Convert to fraction form
    632.28/948.71 = 285.43/x
  3. Step 3: Cross multiply
    632.28x = 948.71 × 285.43
  4. Step 4: Simplify right side
    632.28x = 270,790.30
  5. Step 5: Solve for x
    x = 270,790.30/632.28
  6. Step 6: Final answer
    x = 428.28

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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.