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Finding the Fourth Proportional to 802.11, 1,202.88 and 493.03

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Solution

The fourth proportional to 802.11, 1,202.88 and 493.03 is: 739.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.11 : 1,202.88 = 493.03 : x
  2. Step 2: Convert to fraction form
    802.11/1,202.88 = 493.03/x
  3. Step 3: Cross multiply
    802.11x = 1,202.88 × 493.03
  4. Step 4: Simplify right side
    802.11x = 593,051.74
  5. Step 5: Solve for x
    x = 593,051.74/802.11
  6. Step 6: Final answer
    x = 739.36

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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.