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Finding the Fourth Proportional to 788.41, 1,183.16 and 782.34

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Solution

The fourth proportional to 788.41, 1,183.16 and 782.34 is: 1,174.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.41 : 1,183.16 = 782.34 : x
  2. Step 2: Convert to fraction form
    788.41/1,183.16 = 782.34/x
  3. Step 3: Cross multiply
    788.41x = 1,183.16 × 782.34
  4. Step 4: Simplify right side
    788.41x = 925,633.39
  5. Step 5: Solve for x
    x = 925,633.39/788.41
  6. Step 6: Final answer
    x = 1,174.05

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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.