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Finding the Fourth Proportional to 849.59, 1,163.95 and 816.78

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Solution

The fourth proportional to 849.59, 1,163.95 and 816.78 is: 1,119.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.59 : 1,163.95 = 816.78 : x
  2. Step 2: Convert to fraction form
    849.59/1,163.95 = 816.78/x
  3. Step 3: Cross multiply
    849.59x = 1,163.95 × 816.78
  4. Step 4: Simplify right side
    849.59x = 950,687.00
  5. Step 5: Solve for x
    x = 950,687.00/849.59
  6. Step 6: Final answer
    x = 1,119.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.