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Finding the Fourth Proportional to 961.42, 1,327.74 and 828.39

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Solution

The fourth proportional to 961.42, 1,327.74 and 828.39 is: 1,144.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.42 : 1,327.74 = 828.39 : x
  2. Step 2: Convert to fraction form
    961.42/1,327.74 = 828.39/x
  3. Step 3: Cross multiply
    961.42x = 1,327.74 × 828.39
  4. Step 4: Simplify right side
    961.42x = 1,099,886.54
  5. Step 5: Solve for x
    x = 1,099,886.54/961.42
  6. Step 6: Final answer
    x = 1,144.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.