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Finding the Fourth Proportional to 605.68, 909.43 and 363.29

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Solution

The fourth proportional to 605.68, 909.43 and 363.29 is: 545.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.68 : 909.43 = 363.29 : x
  2. Step 2: Convert to fraction form
    605.68/909.43 = 363.29/x
  3. Step 3: Cross multiply
    605.68x = 909.43 × 363.29
  4. Step 4: Simplify right side
    605.68x = 330,381.37
  5. Step 5: Solve for x
    x = 330,381.37/605.68
  6. Step 6: Final answer
    x = 545.47

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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.