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Finding the Fourth Proportional to 768.32, 1,150.56 and 606.88

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Solution

The fourth proportional to 768.32, 1,150.56 and 606.88 is: 908.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.32 : 1,150.56 = 606.88 : x
  2. Step 2: Convert to fraction form
    768.32/1,150.56 = 606.88/x
  3. Step 3: Cross multiply
    768.32x = 1,150.56 × 606.88
  4. Step 4: Simplify right side
    768.32x = 698,251.85
  5. Step 5: Solve for x
    x = 698,251.85/768.32
  6. Step 6: Final answer
    x = 908.80

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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.