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Finding the Fourth Proportional to 845.11, 1,274.42 and 833.56

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Solution

The fourth proportional to 845.11, 1,274.42 and 833.56 is: 1,257.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.11 : 1,274.42 = 833.56 : x
  2. Step 2: Convert to fraction form
    845.11/1,274.42 = 833.56/x
  3. Step 3: Cross multiply
    845.11x = 1,274.42 × 833.56
  4. Step 4: Simplify right side
    845.11x = 1,062,305.54
  5. Step 5: Solve for x
    x = 1,062,305.54/845.11
  6. Step 6: Final answer
    x = 1,257.00

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.