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Finding the Fourth Proportional to 633.44, 948.65 and 449.98

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Solution

The fourth proportional to 633.44, 948.65 and 449.98 is: 673.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.44 : 948.65 = 449.98 : x
  2. Step 2: Convert to fraction form
    633.44/948.65 = 449.98/x
  3. Step 3: Cross multiply
    633.44x = 948.65 × 449.98
  4. Step 4: Simplify right side
    633.44x = 426,868.91
  5. Step 5: Solve for x
    x = 426,868.91/633.44
  6. Step 6: Final answer
    x = 673.89

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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.