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Finding the Fourth Proportional to 774.15, 1,160.97 and 408.75

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Solution

The fourth proportional to 774.15, 1,160.97 and 408.75 is: 612.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.15 : 1,160.97 = 408.75 : x
  2. Step 2: Convert to fraction form
    774.15/1,160.97 = 408.75/x
  3. Step 3: Cross multiply
    774.15x = 1,160.97 × 408.75
  4. Step 4: Simplify right side
    774.15x = 474,546.49
  5. Step 5: Solve for x
    x = 474,546.49/774.15
  6. Step 6: Final answer
    x = 612.99

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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.