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Finding the Fourth Proportional to 853.26, 1,177.08 and 573.54

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Solution

The fourth proportional to 853.26, 1,177.08 and 573.54 is: 791.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.26 : 1,177.08 = 573.54 : x
  2. Step 2: Convert to fraction form
    853.26/1,177.08 = 573.54/x
  3. Step 3: Cross multiply
    853.26x = 1,177.08 × 573.54
  4. Step 4: Simplify right side
    853.26x = 675,102.46
  5. Step 5: Solve for x
    x = 675,102.46/853.26
  6. Step 6: Final answer
    x = 791.20

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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.