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Finding the Fourth Proportional to 2,328.99, 3,493.41 and 685.57

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Solution

The fourth proportional to 2,328.99, 3,493.41 and 685.57 is: 1,028.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.99 : 3,493.41 = 685.57 : x
  2. Step 2: Convert to fraction form
    2,328.99/3,493.41 = 685.57/x
  3. Step 3: Cross multiply
    2,328.99x = 3,493.41 × 685.57
  4. Step 4: Simplify right side
    2,328.99x = 2,394,956.20
  5. Step 5: Solve for x
    x = 2,394,956.20/2,328.99
  6. Step 6: Final answer
    x = 1,028.33

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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.