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Finding the Fourth Proportional to 453.31, 676.71 and 421.19

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Solution

The fourth proportional to 453.31, 676.71 and 421.19 is: 628.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.31 : 676.71 = 421.19 : x
  2. Step 2: Convert to fraction form
    453.31/676.71 = 421.19/x
  3. Step 3: Cross multiply
    453.31x = 676.71 × 421.19
  4. Step 4: Simplify right side
    453.31x = 285,021.38
  5. Step 5: Solve for x
    x = 285,021.38/453.31
  6. Step 6: Final answer
    x = 628.76

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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.