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Finding the Fourth Proportional to 448.14, 667.82 and 444.36

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Solution

The fourth proportional to 448.14, 667.82 and 444.36 is: 662.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.14 : 667.82 = 444.36 : x
  2. Step 2: Convert to fraction form
    448.14/667.82 = 444.36/x
  3. Step 3: Cross multiply
    448.14x = 667.82 × 444.36
  4. Step 4: Simplify right side
    448.14x = 296,750.27
  5. Step 5: Solve for x
    x = 296,750.27/448.14
  6. Step 6: Final answer
    x = 662.18

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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.