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Finding the Fourth Proportional to 788.83, 1,183.26 and 377.75

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Solution

The fourth proportional to 788.83, 1,183.26 and 377.75 is: 566.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.83 : 1,183.26 = 377.75 : x
  2. Step 2: Convert to fraction form
    788.83/1,183.26 = 377.75/x
  3. Step 3: Cross multiply
    788.83x = 1,183.26 × 377.75
  4. Step 4: Simplify right side
    788.83x = 446,976.47
  5. Step 5: Solve for x
    x = 446,976.47/788.83
  6. Step 6: Final answer
    x = 566.64

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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.