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Finding the Fourth Proportional to 632.53, 949.09 and 285.68

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Solution

The fourth proportional to 632.53, 949.09 and 285.68 is: 428.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.53 : 949.09 = 285.68 : x
  2. Step 2: Convert to fraction form
    632.53/949.09 = 285.68/x
  3. Step 3: Cross multiply
    632.53x = 949.09 × 285.68
  4. Step 4: Simplify right side
    632.53x = 271,136.03
  5. Step 5: Solve for x
    x = 271,136.03/632.53
  6. Step 6: Final answer
    x = 428.65

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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.