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Finding the Fourth Proportional to 911.79, 1,367.48 and 363.83

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Solution

The fourth proportional to 911.79, 1,367.48 and 363.83 is: 545.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.79 : 1,367.48 = 363.83 : x
  2. Step 2: Convert to fraction form
    911.79/1,367.48 = 363.83/x
  3. Step 3: Cross multiply
    911.79x = 1,367.48 × 363.83
  4. Step 4: Simplify right side
    911.79x = 497,527.74
  5. Step 5: Solve for x
    x = 497,527.74/911.79
  6. Step 6: Final answer
    x = 545.66

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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.