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Finding the Fourth Proportional to 2,704.56, 4,057.43 and 830.45

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Solution

The fourth proportional to 2,704.56, 4,057.43 and 830.45 is: 1,245.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.56 : 4,057.43 = 830.45 : x
  2. Step 2: Convert to fraction form
    2,704.56/4,057.43 = 830.45/x
  3. Step 3: Cross multiply
    2,704.56x = 4,057.43 × 830.45
  4. Step 4: Simplify right side
    2,704.56x = 3,369,468.30
  5. Step 5: Solve for x
    x = 3,369,468.30/2,704.56
  6. Step 6: Final answer
    x = 1,245.85

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1.5x scale

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.