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Finding the Fourth Proportional to 453.55, 676.35 and 449.44

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Solution

The fourth proportional to 453.55, 676.35 and 449.44 is: 670.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.55 : 676.35 = 449.44 : x
  2. Step 2: Convert to fraction form
    453.55/676.35 = 449.44/x
  3. Step 3: Cross multiply
    453.55x = 676.35 × 449.44
  4. Step 4: Simplify right side
    453.55x = 303,978.74
  5. Step 5: Solve for x
    x = 303,978.74/453.55
  6. Step 6: Final answer
    x = 670.22

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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.