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Finding the Fourth Proportional to 767.06, 1,055.79 and 641.33

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Solution

The fourth proportional to 767.06, 1,055.79 and 641.33 is: 882.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.06 : 1,055.79 = 641.33 : x
  2. Step 2: Convert to fraction form
    767.06/1,055.79 = 641.33/x
  3. Step 3: Cross multiply
    767.06x = 1,055.79 × 641.33
  4. Step 4: Simplify right side
    767.06x = 677,109.80
  5. Step 5: Solve for x
    x = 677,109.80/767.06
  6. Step 6: Final answer
    x = 882.73

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