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Finding the Fourth Proportional to 454.92, 679.62 and 363.84

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Solution

The fourth proportional to 454.92, 679.62 and 363.84 is: 543.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.92 : 679.62 = 363.84 : x
  2. Step 2: Convert to fraction form
    454.92/679.62 = 363.84/x
  3. Step 3: Cross multiply
    454.92x = 679.62 × 363.84
  4. Step 4: Simplify right side
    454.92x = 247,272.94
  5. Step 5: Solve for x
    x = 247,272.94/454.92
  6. Step 6: Final answer
    x = 543.55

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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.