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Finding the Fourth Proportional to 448.62, 673.22 and 311.79

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Solution

The fourth proportional to 448.62, 673.22 and 311.79 is: 467.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.62 : 673.22 = 311.79 : x
  2. Step 2: Convert to fraction form
    448.62/673.22 = 311.79/x
  3. Step 3: Cross multiply
    448.62x = 673.22 × 311.79
  4. Step 4: Simplify right side
    448.62x = 209,903.26
  5. Step 5: Solve for x
    x = 209,903.26/448.62
  6. Step 6: Final answer
    x = 467.89

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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.