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Finding the Fourth Proportional to 606.75, 909.82 and 363.75

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Solution

The fourth proportional to 606.75, 909.82 and 363.75 is: 545.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.75 : 909.82 = 363.75 : x
  2. Step 2: Convert to fraction form
    606.75/909.82 = 363.75/x
  3. Step 3: Cross multiply
    606.75x = 909.82 × 363.75
  4. Step 4: Simplify right side
    606.75x = 330,947.03
  5. Step 5: Solve for x
    x = 330,947.03/606.75
  6. Step 6: Final answer
    x = 545.44

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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.