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Finding the Fourth Proportional to 448.97, 617.90 and 379.94

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Solution

The fourth proportional to 448.97, 617.90 and 379.94 is: 522.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.97 : 617.90 = 379.94 : x
  2. Step 2: Convert to fraction form
    448.97/617.90 = 379.94/x
  3. Step 3: Cross multiply
    448.97x = 617.90 × 379.94
  4. Step 4: Simplify right side
    448.97x = 234,759.94
  5. Step 5: Solve for x
    x = 234,759.94/448.97
  6. Step 6: Final answer
    x = 522.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.