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Finding the Fourth Proportional to 454.92, 684.84 and 352.80

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Solution

The fourth proportional to 454.92, 684.84 and 352.80 is: 531.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.92 : 684.84 = 352.80 : x
  2. Step 2: Convert to fraction form
    454.92/684.84 = 352.80/x
  3. Step 3: Cross multiply
    454.92x = 684.84 × 352.80
  4. Step 4: Simplify right side
    454.92x = 241,611.55
  5. Step 5: Solve for x
    x = 241,611.55/454.92
  6. Step 6: Final answer
    x = 531.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.