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Finding the Fourth Proportional to 779.59, 1,169.39 and 194.59

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Solution

The fourth proportional to 779.59, 1,169.39 and 194.59 is: 291.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.59 : 1,169.39 = 194.59 : x
  2. Step 2: Convert to fraction form
    779.59/1,169.39 = 194.59/x
  3. Step 3: Cross multiply
    779.59x = 1,169.39 × 194.59
  4. Step 4: Simplify right side
    779.59x = 227,551.60
  5. Step 5: Solve for x
    x = 227,551.60/779.59
  6. Step 6: Final answer
    x = 291.89

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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.