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Finding the Fourth Proportional to 453.31, 676.54 and 409.57

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Solution

The fourth proportional to 453.31, 676.54 and 409.57 is: 611.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.31 : 676.54 = 409.57 : x
  2. Step 2: Convert to fraction form
    453.31/676.54 = 409.57/x
  3. Step 3: Cross multiply
    453.31x = 676.54 × 409.57
  4. Step 4: Simplify right side
    453.31x = 277,093.72
  5. Step 5: Solve for x
    x = 277,093.72/453.31
  6. Step 6: Final answer
    x = 611.26

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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.