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Finding the Fourth Proportional to 773.97, 1,160.31 and 312.09

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Solution

The fourth proportional to 773.97, 1,160.31 and 312.09 is: 467.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.97 : 1,160.31 = 312.09 : x
  2. Step 2: Convert to fraction form
    773.97/1,160.31 = 312.09/x
  3. Step 3: Cross multiply
    773.97x = 1,160.31 × 312.09
  4. Step 4: Simplify right side
    773.97x = 362,121.15
  5. Step 5: Solve for x
    x = 362,121.15/773.97
  6. Step 6: Final answer
    x = 467.87

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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.