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Finding the Fourth Proportional to 849.30, 1,274.49 and 773.70

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Solution

The fourth proportional to 849.30, 1,274.49 and 773.70 is: 1,161.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.30 : 1,274.49 = 773.70 : x
  2. Step 2: Convert to fraction form
    849.30/1,274.49 = 773.70/x
  3. Step 3: Cross multiply
    849.30x = 1,274.49 × 773.70
  4. Step 4: Simplify right side
    849.30x = 986,072.91
  5. Step 5: Solve for x
    x = 986,072.91/849.30
  6. Step 6: Final answer
    x = 1,161.04

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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.