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Finding the Fourth Proportional to 768.71, 1,153.12 and 379.03

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Solution

The fourth proportional to 768.71, 1,153.12 and 379.03 is: 568.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.71 : 1,153.12 = 379.03 : x
  2. Step 2: Convert to fraction form
    768.71/1,153.12 = 379.03/x
  3. Step 3: Cross multiply
    768.71x = 1,153.12 × 379.03
  4. Step 4: Simplify right side
    768.71x = 437,067.07
  5. Step 5: Solve for x
    x = 437,067.07/768.71
  6. Step 6: Final answer
    x = 568.57

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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.