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Finding the Fourth Proportional to 853.11, 1,177.17 and 494.19

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Solution

The fourth proportional to 853.11, 1,177.17 and 494.19 is: 681.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.11 : 1,177.17 = 494.19 : x
  2. Step 2: Convert to fraction form
    853.11/1,177.17 = 494.19/x
  3. Step 3: Cross multiply
    853.11x = 1,177.17 × 494.19
  4. Step 4: Simplify right side
    853.11x = 581,745.64
  5. Step 5: Solve for x
    x = 581,745.64/853.11
  6. Step 6: Final answer
    x = 681.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.