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Finding the Fourth Proportional to 453.20, 676.50 and 419.38

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Solution

The fourth proportional to 453.20, 676.50 and 419.38 is: 626.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.20 : 676.50 = 419.38 : x
  2. Step 2: Convert to fraction form
    453.20/676.50 = 419.38/x
  3. Step 3: Cross multiply
    453.20x = 676.50 × 419.38
  4. Step 4: Simplify right side
    453.20x = 283,708.88
  5. Step 5: Solve for x
    x = 283,708.88/453.20
  6. Step 6: Final answer
    x = 626.02

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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.