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Finding the Fourth Proportional to 768.44, 1,153.83 and 613.91

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Solution

The fourth proportional to 768.44, 1,153.83 and 613.91 is: 921.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.44 : 1,153.83 = 613.91 : x
  2. Step 2: Convert to fraction form
    768.44/1,153.83 = 613.91/x
  3. Step 3: Cross multiply
    768.44x = 1,153.83 × 613.91
  4. Step 4: Simplify right side
    768.44x = 708,344.71
  5. Step 5: Solve for x
    x = 708,344.71/768.44
  6. Step 6: Final answer
    x = 921.79

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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.