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Finding the Fourth Proportional to 447.69, 617.43 and 404.49

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Solution

The fourth proportional to 447.69, 617.43 and 404.49 is: 557.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.69 : 617.43 = 404.49 : x
  2. Step 2: Convert to fraction form
    447.69/617.43 = 404.49/x
  3. Step 3: Cross multiply
    447.69x = 617.43 × 404.49
  4. Step 4: Simplify right side
    447.69x = 249,744.26
  5. Step 5: Solve for x
    x = 249,744.26/447.69
  6. Step 6: Final answer
    x = 557.85

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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.