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Finding the Fourth Proportional to 515.94, 768.94 and 515.14

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Solution

The fourth proportional to 515.94, 768.94 and 515.14 is: 767.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.94 : 768.94 = 515.14 : x
  2. Step 2: Convert to fraction form
    515.94/768.94 = 515.14/x
  3. Step 3: Cross multiply
    515.94x = 768.94 × 515.14
  4. Step 4: Simplify right side
    515.94x = 396,111.75
  5. Step 5: Solve for x
    x = 396,111.75/515.94
  6. Step 6: Final answer
    x = 767.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.