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Finding the Fourth Proportional to 773.87, 1,160.90 and 408.68

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Solution

The fourth proportional to 773.87, 1,160.90 and 408.68 is: 613.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.87 : 1,160.90 = 408.68 : x
  2. Step 2: Convert to fraction form
    773.87/1,160.90 = 408.68/x
  3. Step 3: Cross multiply
    773.87x = 1,160.90 × 408.68
  4. Step 4: Simplify right side
    773.87x = 474,428.76
  5. Step 5: Solve for x
    x = 474,428.76/773.87
  6. Step 6: Final answer
    x = 613.06

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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.