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Finding the Fourth Proportional to 774.78, 1,160.81 and 408.77

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Solution

The fourth proportional to 774.78, 1,160.81 and 408.77 is: 612.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.78 : 1,160.81 = 408.77 : x
  2. Step 2: Convert to fraction form
    774.78/1,160.81 = 408.77/x
  3. Step 3: Cross multiply
    774.78x = 1,160.81 × 408.77
  4. Step 4: Simplify right side
    774.78x = 474,497.99
  5. Step 5: Solve for x
    x = 474,497.99/774.78
  6. Step 6: Final answer
    x = 612.43

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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.