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Finding the Fourth Proportional to 808.22, 1,206.44 and 748.04

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Solution

The fourth proportional to 808.22, 1,206.44 and 748.04 is: 1,116.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.22 : 1,206.44 = 748.04 : x
  2. Step 2: Convert to fraction form
    808.22/1,206.44 = 748.04/x
  3. Step 3: Cross multiply
    808.22x = 1,206.44 × 748.04
  4. Step 4: Simplify right side
    808.22x = 902,458.41
  5. Step 5: Solve for x
    x = 902,458.41/808.22
  6. Step 6: Final answer
    x = 1,116.61

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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.