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Finding the Fourth Proportional to 788.21, 1,183.08 and 582.15

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Solution

The fourth proportional to 788.21, 1,183.08 and 582.15 is: 873.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.21 : 1,183.08 = 582.15 : x
  2. Step 2: Convert to fraction form
    788.21/1,183.08 = 582.15/x
  3. Step 3: Cross multiply
    788.21x = 1,183.08 × 582.15
  4. Step 4: Simplify right side
    788.21x = 688,730.02
  5. Step 5: Solve for x
    x = 688,730.02/788.21
  6. Step 6: Final answer
    x = 873.79

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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.