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Finding the Fourth Proportional to 844.87, 1,168.10 and 649.03

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Solution

The fourth proportional to 844.87, 1,168.10 and 649.03 is: 897.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.87 : 1,168.10 = 649.03 : x
  2. Step 2: Convert to fraction form
    844.87/1,168.10 = 649.03/x
  3. Step 3: Cross multiply
    844.87x = 1,168.10 × 649.03
  4. Step 4: Simplify right side
    844.87x = 758,131.94
  5. Step 5: Solve for x
    x = 758,131.94/844.87
  6. Step 6: Final answer
    x = 897.34

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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.