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Finding the Fourth Proportional to 774.95, 1,161.97 and 515.09

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Solution

The fourth proportional to 774.95, 1,161.97 and 515.09 is: 772.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.95 : 1,161.97 = 515.09 : x
  2. Step 2: Convert to fraction form
    774.95/1,161.97 = 515.09/x
  3. Step 3: Cross multiply
    774.95x = 1,161.97 × 515.09
  4. Step 4: Simplify right side
    774.95x = 598,516.55
  5. Step 5: Solve for x
    x = 598,516.55/774.95
  6. Step 6: Final answer
    x = 772.33

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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.