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Finding the Fourth Proportional to 2,329.01, 3,493.58 and 685.61

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Solution

The fourth proportional to 2,329.01, 3,493.58 and 685.61 is: 1,028.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.01 : 3,493.58 = 685.61 : x
  2. Step 2: Convert to fraction form
    2,329.01/3,493.58 = 685.61/x
  3. Step 3: Cross multiply
    2,329.01x = 3,493.58 × 685.61
  4. Step 4: Simplify right side
    2,329.01x = 2,395,229.96
  5. Step 5: Solve for x
    x = 2,395,229.96/2,329.01
  6. Step 6: Final answer
    x = 1,028.43

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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.