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Finding the Fourth Proportional to 857.13, 1,278.17 and 849.33

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Solution

The fourth proportional to 857.13, 1,278.17 and 849.33 is: 1,266.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.13 : 1,278.17 = 849.33 : x
  2. Step 2: Convert to fraction form
    857.13/1,278.17 = 849.33/x
  3. Step 3: Cross multiply
    857.13x = 1,278.17 × 849.33
  4. Step 4: Simplify right side
    857.13x = 1,085,591.86
  5. Step 5: Solve for x
    x = 1,085,591.86/857.13
  6. Step 6: Final answer
    x = 1,266.54

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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.