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Finding the Fourth Proportional to 1,384.85, 2,074.96 and 994.26

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Solution

The fourth proportional to 1,384.85, 2,074.96 and 994.26 is: 1,489.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.85 : 2,074.96 = 994.26 : x
  2. Step 2: Convert to fraction form
    1,384.85/2,074.96 = 994.26/x
  3. Step 3: Cross multiply
    1,384.85x = 2,074.96 × 994.26
  4. Step 4: Simplify right side
    1,384.85x = 2,063,049.73
  5. Step 5: Solve for x
    x = 2,063,049.73/1,384.85
  6. Step 6: Final answer
    x = 1,489.73

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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.