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Finding the Fourth Proportional to 606.82, 909.30 and 363.22

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Solution

The fourth proportional to 606.82, 909.30 and 363.22 is: 544.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.82 : 909.30 = 363.22 : x
  2. Step 2: Convert to fraction form
    606.82/909.30 = 363.22/x
  3. Step 3: Cross multiply
    606.82x = 909.30 × 363.22
  4. Step 4: Simplify right side
    606.82x = 330,275.95
  5. Step 5: Solve for x
    x = 330,275.95/606.82
  6. Step 6: Final answer
    x = 544.27

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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.