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Finding the Fourth Proportional to 768.69, 1,061.36 and 680.26

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Solution

The fourth proportional to 768.69, 1,061.36 and 680.26 is: 939.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.69 : 1,061.36 = 680.26 : x
  2. Step 2: Convert to fraction form
    768.69/1,061.36 = 680.26/x
  3. Step 3: Cross multiply
    768.69x = 1,061.36 × 680.26
  4. Step 4: Simplify right side
    768.69x = 722,000.75
  5. Step 5: Solve for x
    x = 722,000.75/768.69
  6. Step 6: Final answer
    x = 939.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.