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Finding the Fourth Proportional to 453.45, 676.20 and 449.35

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Solution

The fourth proportional to 453.45, 676.20 and 449.35 is: 670.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.45 : 676.20 = 449.35 : x
  2. Step 2: Convert to fraction form
    453.45/676.20 = 449.35/x
  3. Step 3: Cross multiply
    453.45x = 676.20 × 449.35
  4. Step 4: Simplify right side
    453.45x = 303,847.94
  5. Step 5: Solve for x
    x = 303,847.94/453.45
  6. Step 6: Final answer
    x = 670.08

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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.