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Finding the Fourth Proportional to 449.14, 677.63 and 447.94

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Solution

The fourth proportional to 449.14, 677.63 and 447.94 is: 675.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.14 : 677.63 = 447.94 : x
  2. Step 2: Convert to fraction form
    449.14/677.63 = 447.94/x
  3. Step 3: Cross multiply
    449.14x = 677.63 × 447.94
  4. Step 4: Simplify right side
    449.14x = 303,537.58
  5. Step 5: Solve for x
    x = 303,537.58/449.14
  6. Step 6: Final answer
    x = 675.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.