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Finding the Fourth Proportional to 449.54, 671.09 and 380.28

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Solution

The fourth proportional to 449.54, 671.09 and 380.28 is: 567.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.54 : 671.09 = 380.28 : x
  2. Step 2: Convert to fraction form
    449.54/671.09 = 380.28/x
  3. Step 3: Cross multiply
    449.54x = 671.09 × 380.28
  4. Step 4: Simplify right side
    449.54x = 255,202.11
  5. Step 5: Solve for x
    x = 255,202.11/449.54
  6. Step 6: Final answer
    x = 567.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.