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Finding the Fourth Proportional to 451.56, 678.78 and 449.40

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Solution

The fourth proportional to 451.56, 678.78 and 449.40 is: 675.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.56 : 678.78 = 449.40 : x
  2. Step 2: Convert to fraction form
    451.56/678.78 = 449.40/x
  3. Step 3: Cross multiply
    451.56x = 678.78 × 449.40
  4. Step 4: Simplify right side
    451.56x = 305,043.73
  5. Step 5: Solve for x
    x = 305,043.73/451.56
  6. Step 6: Final answer
    x = 675.53

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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.