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Finding the Fourth Proportional to 773.93, 1,161.26 and 362.99

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Solution

The fourth proportional to 773.93, 1,161.26 and 362.99 is: 544.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.93 : 1,161.26 = 362.99 : x
  2. Step 2: Convert to fraction form
    773.93/1,161.26 = 362.99/x
  3. Step 3: Cross multiply
    773.93x = 1,161.26 × 362.99
  4. Step 4: Simplify right side
    773.93x = 421,520.87
  5. Step 5: Solve for x
    x = 421,520.87/773.93
  6. Step 6: Final answer
    x = 544.65

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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.