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Finding the Fourth Proportional to 449.40, 668.72 and 447.87

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Solution

The fourth proportional to 449.40, 668.72 and 447.87 is: 666.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.40 : 668.72 = 447.87 : x
  2. Step 2: Convert to fraction form
    449.40/668.72 = 447.87/x
  3. Step 3: Cross multiply
    449.40x = 668.72 × 447.87
  4. Step 4: Simplify right side
    449.40x = 299,497.38
  5. Step 5: Solve for x
    x = 299,497.38/449.40
  6. Step 6: Final answer
    x = 666.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.