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Finding the Fourth Proportional to 515.77, 773.96 and 191.16

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Solution

The fourth proportional to 515.77, 773.96 and 191.16 is: 286.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.77 : 773.96 = 191.16 : x
  2. Step 2: Convert to fraction form
    515.77/773.96 = 191.16/x
  3. Step 3: Cross multiply
    515.77x = 773.96 × 191.16
  4. Step 4: Simplify right side
    515.77x = 147,949.24
  5. Step 5: Solve for x
    x = 147,949.24/515.77
  6. Step 6: Final answer
    x = 286.85

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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.