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Finding the Fourth Proportional to 454.08, 676.98 and 410.34

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Solution

The fourth proportional to 454.08, 676.98 and 410.34 is: 611.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.08 : 676.98 = 410.34 : x
  2. Step 2: Convert to fraction form
    454.08/676.98 = 410.34/x
  3. Step 3: Cross multiply
    454.08x = 676.98 × 410.34
  4. Step 4: Simplify right side
    454.08x = 277,791.97
  5. Step 5: Solve for x
    x = 277,791.97/454.08
  6. Step 6: Final answer
    x = 611.77

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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.