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Finding the Fourth Proportional to 1,327.20, 1,990.56 and 449.58

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Solution

The fourth proportional to 1,327.20, 1,990.56 and 449.58 is: 674.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.20 : 1,990.56 = 449.58 : x
  2. Step 2: Convert to fraction form
    1,327.20/1,990.56 = 449.58/x
  3. Step 3: Cross multiply
    1,327.20x = 1,990.56 × 449.58
  4. Step 4: Simplify right side
    1,327.20x = 894,915.96
  5. Step 5: Solve for x
    x = 894,915.96/1,327.20
  6. Step 6: Final answer
    x = 674.29

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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.