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Finding the Fourth Proportional to 453.92, 676.97 and 410.18

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Solution

The fourth proportional to 453.92, 676.97 and 410.18 is: 611.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.92 : 676.97 = 410.18 : x
  2. Step 2: Convert to fraction form
    453.92/676.97 = 410.18/x
  3. Step 3: Cross multiply
    453.92x = 676.97 × 410.18
  4. Step 4: Simplify right side
    453.92x = 277,674.12
  5. Step 5: Solve for x
    x = 277,674.12/453.92
  6. Step 6: Final answer
    x = 611.73

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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.