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Finding the Fourth Proportional to 2,293.74, 3,440.20 and 649.90

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Solution

The fourth proportional to 2,293.74, 3,440.20 and 649.90 is: 974.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.74 : 3,440.20 = 649.90 : x
  2. Step 2: Convert to fraction form
    2,293.74/3,440.20 = 649.90/x
  3. Step 3: Cross multiply
    2,293.74x = 3,440.20 × 649.90
  4. Step 4: Simplify right side
    2,293.74x = 2,235,785.98
  5. Step 5: Solve for x
    x = 2,235,785.98/2,293.74
  6. Step 6: Final answer
    x = 974.73

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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.