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Finding the Fourth Proportional to 1,737.75, 2,396.99 and 1,205.79

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Solution

The fourth proportional to 1,737.75, 2,396.99 and 1,205.79 is: 1,663.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.75 : 2,396.99 = 1,205.79 : x
  2. Step 2: Convert to fraction form
    1,737.75/2,396.99 = 1,205.79/x
  3. Step 3: Cross multiply
    1,737.75x = 2,396.99 × 1,205.79
  4. Step 4: Simplify right side
    1,737.75x = 2,890,260.60
  5. Step 5: Solve for x
    x = 2,890,260.60/1,737.75
  6. Step 6: Final answer
    x = 1,663.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.