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Finding the Fourth Proportional to 779.75, 1,169.63 and 293.03

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Solution

The fourth proportional to 779.75, 1,169.63 and 293.03 is: 439.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.75 : 1,169.63 = 293.03 : x
  2. Step 2: Convert to fraction form
    779.75/1,169.63 = 293.03/x
  3. Step 3: Cross multiply
    779.75x = 1,169.63 × 293.03
  4. Step 4: Simplify right side
    779.75x = 342,736.68
  5. Step 5: Solve for x
    x = 342,736.68/779.75
  6. Step 6: Final answer
    x = 439.55

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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.