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Finding the Fourth Proportional to 449.81, 669.61 and 447.38

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Solution

The fourth proportional to 449.81, 669.61 and 447.38 is: 665.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.81 : 669.61 = 447.38 : x
  2. Step 2: Convert to fraction form
    449.81/669.61 = 447.38/x
  3. Step 3: Cross multiply
    449.81x = 669.61 × 447.38
  4. Step 4: Simplify right side
    449.81x = 299,570.12
  5. Step 5: Solve for x
    x = 299,570.12/449.81
  6. Step 6: Final answer
    x = 665.99

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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.