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Finding the Fourth Proportional to 1,761.36, 2,639.99 and 665.03

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Solution

The fourth proportional to 1,761.36, 2,639.99 and 665.03 is: 996.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.36 : 2,639.99 = 665.03 : x
  2. Step 2: Convert to fraction form
    1,761.36/2,639.99 = 665.03/x
  3. Step 3: Cross multiply
    1,761.36x = 2,639.99 × 665.03
  4. Step 4: Simplify right side
    1,761.36x = 1,755,672.55
  5. Step 5: Solve for x
    x = 1,755,672.55/1,761.36
  6. Step 6: Final answer
    x = 996.77

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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.