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Finding the Fourth Proportional to 857.32, 1,278.45 and 849.52

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Solution

The fourth proportional to 857.32, 1,278.45 and 849.52 is: 1,266.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.32 : 1,278.45 = 849.52 : x
  2. Step 2: Convert to fraction form
    857.32/1,278.45 = 849.52/x
  3. Step 3: Cross multiply
    857.32x = 1,278.45 × 849.52
  4. Step 4: Simplify right side
    857.32x = 1,086,067.26
  5. Step 5: Solve for x
    x = 1,086,067.26/857.32
  6. Step 6: Final answer
    x = 1,266.82

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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.