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Finding the Fourth Proportional to 1,321.79, 1,824.36 and 824.33

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Solution

The fourth proportional to 1,321.79, 1,824.36 and 824.33 is: 1,137.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.79 : 1,824.36 = 824.33 : x
  2. Step 2: Convert to fraction form
    1,321.79/1,824.36 = 824.33/x
  3. Step 3: Cross multiply
    1,321.79x = 1,824.36 × 824.33
  4. Step 4: Simplify right side
    1,321.79x = 1,503,874.68
  5. Step 5: Solve for x
    x = 1,503,874.68/1,321.79
  6. Step 6: Final answer
    x = 1,137.76

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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.