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Finding the Fourth Proportional to 851.38, 1,268.95 and 844.54

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Solution

The fourth proportional to 851.38, 1,268.95 and 844.54 is: 1,258.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.38 : 1,268.95 = 844.54 : x
  2. Step 2: Convert to fraction form
    851.38/1,268.95 = 844.54/x
  3. Step 3: Cross multiply
    851.38x = 1,268.95 × 844.54
  4. Step 4: Simplify right side
    851.38x = 1,071,679.03
  5. Step 5: Solve for x
    x = 1,071,679.03/851.38
  6. Step 6: Final answer
    x = 1,258.76

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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.