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Finding the Fourth Proportional to 453.44, 676.73 and 409.70

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Solution

The fourth proportional to 453.44, 676.73 and 409.70 is: 611.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.44 : 676.73 = 409.70 : x
  2. Step 2: Convert to fraction form
    453.44/676.73 = 409.70/x
  3. Step 3: Cross multiply
    453.44x = 676.73 × 409.70
  4. Step 4: Simplify right side
    453.44x = 277,256.28
  5. Step 5: Solve for x
    x = 277,256.28/453.44
  6. Step 6: Final answer
    x = 611.45

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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.