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Finding the Fourth Proportional to 2,249.46, 3,374.08 and 788.50

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Solution

The fourth proportional to 2,249.46, 3,374.08 and 788.50 is: 1,182.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.46 : 3,374.08 = 788.50 : x
  2. Step 2: Convert to fraction form
    2,249.46/3,374.08 = 788.50/x
  3. Step 3: Cross multiply
    2,249.46x = 3,374.08 × 788.50
  4. Step 4: Simplify right side
    2,249.46x = 2,660,451.67
  5. Step 5: Solve for x
    x = 2,660,451.67/2,249.46
  6. Step 6: Final answer
    x = 1,182.71

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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.