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Finding the Fourth Proportional to 773.60, 1,161 and 744.44

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Solution

The fourth proportional to 773.60, 1,161 and 744.44 is: 1,117.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.60 : 1,161 = 744.44 : x
  2. Step 2: Convert to fraction form
    773.60/1,161 = 744.44/x
  3. Step 3: Cross multiply
    773.60x = 1,161 × 744.44
  4. Step 4: Simplify right side
    773.60x = 864,294.84
  5. Step 5: Solve for x
    x = 864,294.84/773.60
  6. Step 6: Final answer
    x = 1,117.24

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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.