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Finding the Fourth Proportional to 768.74, 1,151.82 and 378.95

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Solution

The fourth proportional to 768.74, 1,151.82 and 378.95 is: 567.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.74 : 1,151.82 = 378.95 : x
  2. Step 2: Convert to fraction form
    768.74/1,151.82 = 378.95/x
  3. Step 3: Cross multiply
    768.74x = 1,151.82 × 378.95
  4. Step 4: Simplify right side
    768.74x = 436,476.43
  5. Step 5: Solve for x
    x = 436,476.43/768.74
  6. Step 6: Final answer
    x = 567.79

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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.