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Finding the Fourth Proportional to 633.45, 949.37 and 286.77

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Solution

The fourth proportional to 633.45, 949.37 and 286.77 is: 429.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.45 : 949.37 = 286.77 : x
  2. Step 2: Convert to fraction form
    633.45/949.37 = 286.77/x
  3. Step 3: Cross multiply
    633.45x = 949.37 × 286.77
  4. Step 4: Simplify right side
    633.45x = 272,249.40
  5. Step 5: Solve for x
    x = 272,249.40/633.45
  6. Step 6: Final answer
    x = 429.79

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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.