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Finding the Fourth Proportional to 1,682.70, 2,522.73 and 816.78

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Solution

The fourth proportional to 1,682.70, 2,522.73 and 816.78 is: 1,224.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.70 : 2,522.73 = 816.78 : x
  2. Step 2: Convert to fraction form
    1,682.70/2,522.73 = 816.78/x
  3. Step 3: Cross multiply
    1,682.70x = 2,522.73 × 816.78
  4. Step 4: Simplify right side
    1,682.70x = 2,060,515.41
  5. Step 5: Solve for x
    x = 2,060,515.41/1,682.70
  6. Step 6: Final answer
    x = 1,224.53

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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.