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Finding the Fourth Proportional to 449.08, 676.23 and 380.84

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Solution

The fourth proportional to 449.08, 676.23 and 380.84 is: 573.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.08 : 676.23 = 380.84 : x
  2. Step 2: Convert to fraction form
    449.08/676.23 = 380.84/x
  3. Step 3: Cross multiply
    449.08x = 676.23 × 380.84
  4. Step 4: Simplify right side
    449.08x = 257,535.43
  5. Step 5: Solve for x
    x = 257,535.43/449.08
  6. Step 6: Final answer
    x = 573.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.