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Finding the Fourth Proportional to 1,704.58, 2,553.12 and 1,408.73

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Solution

The fourth proportional to 1,704.58, 2,553.12 and 1,408.73 is: 2,109.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.58 : 2,553.12 = 1,408.73 : x
  2. Step 2: Convert to fraction form
    1,704.58/2,553.12 = 1,408.73/x
  3. Step 3: Cross multiply
    1,704.58x = 2,553.12 × 1,408.73
  4. Step 4: Simplify right side
    1,704.58x = 3,596,643.97
  5. Step 5: Solve for x
    x = 3,596,643.97/1,704.58
  6. Step 6: Final answer
    x = 2,109.99

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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.