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Finding the Fourth Proportional to 764.28, 1,055.20 and 481.11

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Solution

The fourth proportional to 764.28, 1,055.20 and 481.11 is: 664.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.28 : 1,055.20 = 481.11 : x
  2. Step 2: Convert to fraction form
    764.28/1,055.20 = 481.11/x
  3. Step 3: Cross multiply
    764.28x = 1,055.20 × 481.11
  4. Step 4: Simplify right side
    764.28x = 507,664.37
  5. Step 5: Solve for x
    x = 507,664.37/764.28
  6. Step 6: Final answer
    x = 664.24

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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.