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Finding the Fourth Proportional to 853.88, 1,177.13 and 605.78

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Solution

The fourth proportional to 853.88, 1,177.13 and 605.78 is: 835.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.88 : 1,177.13 = 605.78 : x
  2. Step 2: Convert to fraction form
    853.88/1,177.13 = 605.78/x
  3. Step 3: Cross multiply
    853.88x = 1,177.13 × 605.78
  4. Step 4: Simplify right side
    853.88x = 713,081.85
  5. Step 5: Solve for x
    x = 713,081.85/853.88
  6. Step 6: Final answer
    x = 835.11

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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.