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Finding the Fourth Proportional to 802.11, 1,201.44 and 714.48

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Solution

The fourth proportional to 802.11, 1,201.44 and 714.48 is: 1,070.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.11 : 1,201.44 = 714.48 : x
  2. Step 2: Convert to fraction form
    802.11/1,201.44 = 714.48/x
  3. Step 3: Cross multiply
    802.11x = 1,201.44 × 714.48
  4. Step 4: Simplify right side
    802.11x = 858,404.85
  5. Step 5: Solve for x
    x = 858,404.85/802.11
  6. Step 6: Final answer
    x = 1,070.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.