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Finding the Fourth Proportional to 773.51, 1,160.46 and 311.20

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Solution

The fourth proportional to 773.51, 1,160.46 and 311.20 is: 466.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.51 : 1,160.46 = 311.20 : x
  2. Step 2: Convert to fraction form
    773.51/1,160.46 = 311.20/x
  3. Step 3: Cross multiply
    773.51x = 1,160.46 × 311.20
  4. Step 4: Simplify right side
    773.51x = 361,132.25
  5. Step 5: Solve for x
    x = 361,132.25/773.51
  6. Step 6: Final answer
    x = 466.88

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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.