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Finding the Fourth Proportional to 773.01, 1,160.24 and 755.19

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Solution

The fourth proportional to 773.01, 1,160.24 and 755.19 is: 1,133.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.01 : 1,160.24 = 755.19 : x
  2. Step 2: Convert to fraction form
    773.01/1,160.24 = 755.19/x
  3. Step 3: Cross multiply
    773.01x = 1,160.24 × 755.19
  4. Step 4: Simplify right side
    773.01x = 876,197.87
  5. Step 5: Solve for x
    x = 876,197.87/773.01
  6. Step 6: Final answer
    x = 1,133.49

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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.