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Finding the Fourth Proportional to 515.97, 772.26 and 378.96

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Solution

The fourth proportional to 515.97, 772.26 and 378.96 is: 567.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.97 : 772.26 = 378.96 : x
  2. Step 2: Convert to fraction form
    515.97/772.26 = 378.96/x
  3. Step 3: Cross multiply
    515.97x = 772.26 × 378.96
  4. Step 4: Simplify right side
    515.97x = 292,655.65
  5. Step 5: Solve for x
    x = 292,655.65/515.97
  6. Step 6: Final answer
    x = 567.20

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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.