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Finding the Fourth Proportional to 773.57, 1,161.39 and 444.83

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Solution

The fourth proportional to 773.57, 1,161.39 and 444.83 is: 667.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.57 : 1,161.39 = 444.83 : x
  2. Step 2: Convert to fraction form
    773.57/1,161.39 = 444.83/x
  3. Step 3: Cross multiply
    773.57x = 1,161.39 × 444.83
  4. Step 4: Simplify right side
    773.57x = 516,624.02
  5. Step 5: Solve for x
    x = 516,624.02/773.57
  6. Step 6: Final answer
    x = 667.84

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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.