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Finding the Fourth Proportional to 2,290.27, 3,435.40 and 829.08

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Solution

The fourth proportional to 2,290.27, 3,435.40 and 829.08 is: 1,243.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.27 : 3,435.40 = 829.08 : x
  2. Step 2: Convert to fraction form
    2,290.27/3,435.40 = 829.08/x
  3. Step 3: Cross multiply
    2,290.27x = 3,435.40 × 829.08
  4. Step 4: Simplify right side
    2,290.27x = 2,848,221.43
  5. Step 5: Solve for x
    x = 2,848,221.43/2,290.27
  6. Step 6: Final answer
    x = 1,243.62

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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.