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Finding the Fourth Proportional to 768.54, 1,142.94 and 744.24

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Solution

The fourth proportional to 768.54, 1,142.94 and 744.24 is: 1,106.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.54 : 1,142.94 = 744.24 : x
  2. Step 2: Convert to fraction form
    768.54/1,142.94 = 744.24/x
  3. Step 3: Cross multiply
    768.54x = 1,142.94 × 744.24
  4. Step 4: Simplify right side
    768.54x = 850,621.67
  5. Step 5: Solve for x
    x = 850,621.67/768.54
  6. Step 6: Final answer
    x = 1,106.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.