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Finding the Fourth Proportional to 1,322.42, 1,824.94 and 825.06

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Solution

The fourth proportional to 1,322.42, 1,824.94 and 825.06 is: 1,138.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.42 : 1,824.94 = 825.06 : x
  2. Step 2: Convert to fraction form
    1,322.42/1,824.94 = 825.06/x
  3. Step 3: Cross multiply
    1,322.42x = 1,824.94 × 825.06
  4. Step 4: Simplify right side
    1,322.42x = 1,505,685.00
  5. Step 5: Solve for x
    x = 1,505,685.00/1,322.42
  6. Step 6: Final answer
    x = 1,138.58

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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.