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Finding the Fourth Proportional to 1,382.86, 2,074.09 and 445.68

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Solution

The fourth proportional to 1,382.86, 2,074.09 and 445.68 is: 668.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.86 : 2,074.09 = 445.68 : x
  2. Step 2: Convert to fraction form
    1,382.86/2,074.09 = 445.68/x
  3. Step 3: Cross multiply
    1,382.86x = 2,074.09 × 445.68
  4. Step 4: Simplify right side
    1,382.86x = 924,380.43
  5. Step 5: Solve for x
    x = 924,380.43/1,382.86
  6. Step 6: Final answer
    x = 668.46

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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.