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Finding the Fourth Proportional to 2,293.82, 3,440.73 and 650.15

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Solution

The fourth proportional to 2,293.82, 3,440.73 and 650.15 is: 975.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.82 : 3,440.73 = 650.15 : x
  2. Step 2: Convert to fraction form
    2,293.82/3,440.73 = 650.15/x
  3. Step 3: Cross multiply
    2,293.82x = 3,440.73 × 650.15
  4. Step 4: Simplify right side
    2,293.82x = 2,236,973.41
  5. Step 5: Solve for x
    x = 2,236,973.41/2,293.82
  6. Step 6: Final answer
    x = 975.22

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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.