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Finding the Fourth Proportional to 764.50, 1,147.32 and 582.22

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Solution

The fourth proportional to 764.50, 1,147.32 and 582.22 is: 873.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.50 : 1,147.32 = 582.22 : x
  2. Step 2: Convert to fraction form
    764.50/1,147.32 = 582.22/x
  3. Step 3: Cross multiply
    764.50x = 1,147.32 × 582.22
  4. Step 4: Simplify right side
    764.50x = 667,992.65
  5. Step 5: Solve for x
    x = 667,992.65/764.50
  6. Step 6: Final answer
    x = 873.76

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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.