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Finding the Fourth Proportional to 853.11, 1,268.70 and 825.77

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Solution

The fourth proportional to 853.11, 1,268.70 and 825.77 is: 1,228.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.11 : 1,268.70 = 825.77 : x
  2. Step 2: Convert to fraction form
    853.11/1,268.70 = 825.77/x
  3. Step 3: Cross multiply
    853.11x = 1,268.70 × 825.77
  4. Step 4: Simplify right side
    853.11x = 1,047,654.40
  5. Step 5: Solve for x
    x = 1,047,654.40/853.11
  6. Step 6: Final answer
    x = 1,228.04

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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.