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Finding the Fourth Proportional to 774.33, 1,161.51 and 363.34

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Solution

The fourth proportional to 774.33, 1,161.51 and 363.34 is: 545.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.33 : 1,161.51 = 363.34 : x
  2. Step 2: Convert to fraction form
    774.33/1,161.51 = 363.34/x
  3. Step 3: Cross multiply
    774.33x = 1,161.51 × 363.34
  4. Step 4: Simplify right side
    774.33x = 422,023.04
  5. Step 5: Solve for x
    x = 422,023.04/774.33
  6. Step 6: Final answer
    x = 545.02

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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.