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Finding the Fourth Proportional to 853.80, 1,180.13 and 778.83

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Solution

The fourth proportional to 853.80, 1,180.13 and 778.83 is: 1,076.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.80 : 1,180.13 = 778.83 : x
  2. Step 2: Convert to fraction form
    853.80/1,180.13 = 778.83/x
  3. Step 3: Cross multiply
    853.80x = 1,180.13 × 778.83
  4. Step 4: Simplify right side
    853.80x = 919,116.75
  5. Step 5: Solve for x
    x = 919,116.75/853.80
  6. Step 6: Final answer
    x = 1,076.50

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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.