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Finding the Fourth Proportional to 786.46, 1,181.52 and 755.48

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Solution

The fourth proportional to 786.46, 1,181.52 and 755.48 is: 1,134.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.46 : 1,181.52 = 755.48 : x
  2. Step 2: Convert to fraction form
    786.46/1,181.52 = 755.48/x
  3. Step 3: Cross multiply
    786.46x = 1,181.52 × 755.48
  4. Step 4: Simplify right side
    786.46x = 892,614.73
  5. Step 5: Solve for x
    x = 892,614.73/786.46
  6. Step 6: Final answer
    x = 1,134.98

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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.