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Finding the Fourth Proportional to 633.04, 949.66 and 267.83

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Solution

The fourth proportional to 633.04, 949.66 and 267.83 is: 401.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.04 : 949.66 = 267.83 : x
  2. Step 2: Convert to fraction form
    633.04/949.66 = 267.83/x
  3. Step 3: Cross multiply
    633.04x = 949.66 × 267.83
  4. Step 4: Simplify right side
    633.04x = 254,346.53
  5. Step 5: Solve for x
    x = 254,346.53/633.04
  6. Step 6: Final answer
    x = 401.79

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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.