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Finding the Fourth Proportional to 2,293.91, 3,440.81 and 650.44

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Solution

The fourth proportional to 2,293.91, 3,440.81 and 650.44 is: 975.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.91 : 3,440.81 = 650.44 : x
  2. Step 2: Convert to fraction form
    2,293.91/3,440.81 = 650.44/x
  3. Step 3: Cross multiply
    2,293.91x = 3,440.81 × 650.44
  4. Step 4: Simplify right side
    2,293.91x = 2,238,028.60
  5. Step 5: Solve for x
    x = 2,238,028.60/2,293.91
  6. Step 6: Final answer
    x = 975.64

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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.