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Finding the Fourth Proportional to 2,905.42, 4,358.42 and 825.52

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Solution

The fourth proportional to 2,905.42, 4,358.42 and 825.52 is: 1,238.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.42 : 4,358.42 = 825.52 : x
  2. Step 2: Convert to fraction form
    2,905.42/4,358.42 = 825.52/x
  3. Step 3: Cross multiply
    2,905.42x = 4,358.42 × 825.52
  4. Step 4: Simplify right side
    2,905.42x = 3,597,958.75
  5. Step 5: Solve for x
    x = 3,597,958.75/2,905.42
  6. Step 6: Final answer
    x = 1,238.36

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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.