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Finding the Fourth Proportional to 633.26, 949.54 and 286.28

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Solution

The fourth proportional to 633.26, 949.54 and 286.28 is: 429.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.26 : 949.54 = 286.28 : x
  2. Step 2: Convert to fraction form
    633.26/949.54 = 286.28/x
  3. Step 3: Cross multiply
    633.26x = 949.54 × 286.28
  4. Step 4: Simplify right side
    633.26x = 271,834.31
  5. Step 5: Solve for x
    x = 271,834.31/633.26
  6. Step 6: Final answer
    x = 429.26

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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.