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Finding the Fourth Proportional to 1,322.25, 1,825.05 and 824.58

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Solution

The fourth proportional to 1,322.25, 1,825.05 and 824.58 is: 1,138.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.25 : 1,825.05 = 824.58 : x
  2. Step 2: Convert to fraction form
    1,322.25/1,825.05 = 824.58/x
  3. Step 3: Cross multiply
    1,322.25x = 1,825.05 × 824.58
  4. Step 4: Simplify right side
    1,322.25x = 1,504,899.73
  5. Step 5: Solve for x
    x = 1,504,899.73/1,322.25
  6. Step 6: Final answer
    x = 1,138.14

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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.