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Finding the Fourth Proportional to 515.57, 773.71 and 190.94

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Solution

The fourth proportional to 515.57, 773.71 and 190.94 is: 286.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.57 : 773.71 = 190.94 : x
  2. Step 2: Convert to fraction form
    515.57/773.71 = 190.94/x
  3. Step 3: Cross multiply
    515.57x = 773.71 × 190.94
  4. Step 4: Simplify right side
    515.57x = 147,733.64
  5. Step 5: Solve for x
    x = 147,733.64/515.57
  6. Step 6: Final answer
    x = 286.54

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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.