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Finding the Fourth Proportional to 764.33, 1,055.48 and 723.41

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Solution

The fourth proportional to 764.33, 1,055.48 and 723.41 is: 998.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.33 : 1,055.48 = 723.41 : x
  2. Step 2: Convert to fraction form
    764.33/1,055.48 = 723.41/x
  3. Step 3: Cross multiply
    764.33x = 1,055.48 × 723.41
  4. Step 4: Simplify right side
    764.33x = 763,544.79
  5. Step 5: Solve for x
    x = 763,544.79/764.33
  6. Step 6: Final answer
    x = 998.97

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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.