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Finding the Fourth Proportional to 1,067.79, 1,600.32 and 823.80

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Solution

The fourth proportional to 1,067.79, 1,600.32 and 823.80 is: 1,234.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.79 : 1,600.32 = 823.80 : x
  2. Step 2: Convert to fraction form
    1,067.79/1,600.32 = 823.80/x
  3. Step 3: Cross multiply
    1,067.79x = 1,600.32 × 823.80
  4. Step 4: Simplify right side
    1,067.79x = 1,318,352.71
  5. Step 5: Solve for x
    x = 1,318,352.71/1,067.79
  6. Step 6: Final answer
    x = 1,234.65

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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.