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Finding the Fourth Proportional to 779.44, 1,169.08 and 394.48

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Solution

The fourth proportional to 779.44, 1,169.08 and 394.48 is: 591.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.44 : 1,169.08 = 394.48 : x
  2. Step 2: Convert to fraction form
    779.44/1,169.08 = 394.48/x
  3. Step 3: Cross multiply
    779.44x = 1,169.08 × 394.48
  4. Step 4: Simplify right side
    779.44x = 461,178.68
  5. Step 5: Solve for x
    x = 461,178.68/779.44
  6. Step 6: Final answer
    x = 591.68

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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.