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Finding the Fourth Proportional to 633.41, 949.39 and 286.22

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Solution

The fourth proportional to 633.41, 949.39 and 286.22 is: 429.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.41 : 949.39 = 286.22 : x
  2. Step 2: Convert to fraction form
    633.41/949.39 = 286.22/x
  3. Step 3: Cross multiply
    633.41x = 949.39 × 286.22
  4. Step 4: Simplify right side
    633.41x = 271,734.41
  5. Step 5: Solve for x
    x = 271,734.41/633.41
  6. Step 6: Final answer
    x = 429.00

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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.