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Finding the Fourth Proportional to 774, 1,161.15 and 389.25

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Solution

The fourth proportional to 774, 1,161.15 and 389.25 is: 583.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    774 : 1,161.15 = 389.25 : x
  2. Step 2: Convert to fraction form
    774/1,161.15 = 389.25/x
  3. Step 3: Cross multiply
    774x = 1,161.15 × 389.25
  4. Step 4: Simplify right side
    774x = 451,977.64
  5. Step 5: Solve for x
    x = 451,977.64/774
  6. Step 6: Final answer
    x = 583.95

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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.