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Finding the Fourth Proportional to 849.20, 1,268.01 and 749.54

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Solution

The fourth proportional to 849.20, 1,268.01 and 749.54 is: 1,119.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.20 : 1,268.01 = 749.54 : x
  2. Step 2: Convert to fraction form
    849.20/1,268.01 = 749.54/x
  3. Step 3: Cross multiply
    849.20x = 1,268.01 × 749.54
  4. Step 4: Simplify right side
    849.20x = 950,424.22
  5. Step 5: Solve for x
    x = 950,424.22/849.20
  6. Step 6: Final answer
    x = 1,119.20

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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.