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Finding the Fourth Proportional to 449.64, 678.39 and 448.44

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Solution

The fourth proportional to 449.64, 678.39 and 448.44 is: 676.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.64 : 678.39 = 448.44 : x
  2. Step 2: Convert to fraction form
    449.64/678.39 = 448.44/x
  3. Step 3: Cross multiply
    449.64x = 678.39 × 448.44
  4. Step 4: Simplify right side
    449.64x = 304,217.21
  5. Step 5: Solve for x
    x = 304,217.21/449.64
  6. Step 6: Final answer
    x = 676.58

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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.