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Finding the Fourth Proportional to 802.11, 1,106.67 and 470.31

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Solution

The fourth proportional to 802.11, 1,106.67 and 470.31 is: 648.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.11 : 1,106.67 = 470.31 : x
  2. Step 2: Convert to fraction form
    802.11/1,106.67 = 470.31/x
  3. Step 3: Cross multiply
    802.11x = 1,106.67 × 470.31
  4. Step 4: Simplify right side
    802.11x = 520,475.58
  5. Step 5: Solve for x
    x = 520,475.58/802.11
  6. Step 6: Final answer
    x = 648.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.