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Finding the Fourth Proportional to 1,704.74, 2,558.30 and 664.75

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Solution

The fourth proportional to 1,704.74, 2,558.30 and 664.75 is: 997.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.74 : 2,558.30 = 664.75 : x
  2. Step 2: Convert to fraction form
    1,704.74/2,558.30 = 664.75/x
  3. Step 3: Cross multiply
    1,704.74x = 2,558.30 × 664.75
  4. Step 4: Simplify right side
    1,704.74x = 1,700,620.21
  5. Step 5: Solve for x
    x = 1,700,620.21/1,704.74
  6. Step 6: Final answer
    x = 997.58

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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.