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Finding the Fourth Proportional to 853.03, 1,277.82 and 808.75

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Solution

The fourth proportional to 853.03, 1,277.82 and 808.75 is: 1,211.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.03 : 1,277.82 = 808.75 : x
  2. Step 2: Convert to fraction form
    853.03/1,277.82 = 808.75/x
  3. Step 3: Cross multiply
    853.03x = 1,277.82 × 808.75
  4. Step 4: Simplify right side
    853.03x = 1,033,436.93
  5. Step 5: Solve for x
    x = 1,033,436.93/853.03
  6. Step 6: Final answer
    x = 1,211.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.