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Finding the Fourth Proportional to 515.97, 774.17 and 272.65

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Solution

The fourth proportional to 515.97, 774.17 and 272.65 is: 409.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.97 : 774.17 = 272.65 : x
  2. Step 2: Convert to fraction form
    515.97/774.17 = 272.65/x
  3. Step 3: Cross multiply
    515.97x = 774.17 × 272.65
  4. Step 4: Simplify right side
    515.97x = 211,077.45
  5. Step 5: Solve for x
    x = 211,077.45/515.97
  6. Step 6: Final answer
    x = 409.09

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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.