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Finding the Fourth Proportional to 484.88, 726.22 and 404.08

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Solution

The fourth proportional to 484.88, 726.22 and 404.08 is: 605.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.88 : 726.22 = 404.08 : x
  2. Step 2: Convert to fraction form
    484.88/726.22 = 404.08/x
  3. Step 3: Cross multiply
    484.88x = 726.22 × 404.08
  4. Step 4: Simplify right side
    484.88x = 293,449.67
  5. Step 5: Solve for x
    x = 293,449.67/484.88
  6. Step 6: Final answer
    x = 605.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.