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Finding the Fourth Proportional to 448.14, 676.13 and 446.94

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Solution

The fourth proportional to 448.14, 676.13 and 446.94 is: 674.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.14 : 676.13 = 446.94 : x
  2. Step 2: Convert to fraction form
    448.14/676.13 = 446.94/x
  3. Step 3: Cross multiply
    448.14x = 676.13 × 446.94
  4. Step 4: Simplify right side
    448.14x = 302,187.31
  5. Step 5: Solve for x
    x = 302,187.31/448.14
  6. Step 6: Final answer
    x = 674.31

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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.