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Finding the Fourth Proportional to 788.60, 1,183.00 and 240.82

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Solution

The fourth proportional to 788.60, 1,183.00 and 240.82 is: 361.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.60 : 1,183.00 = 240.82 : x
  2. Step 2: Convert to fraction form
    788.60/1,183.00 = 240.82/x
  3. Step 3: Cross multiply
    788.60x = 1,183.00 × 240.82
  4. Step 4: Simplify right side
    788.60x = 284,886.50
  5. Step 5: Solve for x
    x = 284,886.50/788.60
  6. Step 6: Final answer
    x = 361.26

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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.