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Finding the Fourth Proportional to 449.49, 673.83 and 319.08

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Solution

The fourth proportional to 449.49, 673.83 and 319.08 is: 478.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.49 : 673.83 = 319.08 : x
  2. Step 2: Convert to fraction form
    449.49/673.83 = 319.08/x
  3. Step 3: Cross multiply
    449.49x = 673.83 × 319.08
  4. Step 4: Simplify right side
    449.49x = 215,005.68
  5. Step 5: Solve for x
    x = 215,005.68/449.49
  6. Step 6: Final answer
    x = 478.33

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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.