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Finding the Fourth Proportional to 774.93, 1,161.75 and 363.84

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Solution

The fourth proportional to 774.93, 1,161.75 and 363.84 is: 545.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.93 : 1,161.75 = 363.84 : x
  2. Step 2: Convert to fraction form
    774.93/1,161.75 = 363.84/x
  3. Step 3: Cross multiply
    774.93x = 1,161.75 × 363.84
  4. Step 4: Simplify right side
    774.93x = 422,691.12
  5. Step 5: Solve for x
    x = 422,691.12/774.93
  6. Step 6: Final answer
    x = 545.46

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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.