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Finding the Fourth Proportional to 1,649.92, 2,474.43 and 662.74

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Solution

The fourth proportional to 1,649.92, 2,474.43 and 662.74 is: 993.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.92 : 2,474.43 = 662.74 : x
  2. Step 2: Convert to fraction form
    1,649.92/2,474.43 = 662.74/x
  3. Step 3: Cross multiply
    1,649.92x = 2,474.43 × 662.74
  4. Step 4: Simplify right side
    1,649.92x = 1,639,903.74
  5. Step 5: Solve for x
    x = 1,639,903.74/1,649.92
  6. Step 6: Final answer
    x = 993.93

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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.