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Finding the Fourth Proportional to 961.46, 1,321.06 and 764.63

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Solution

The fourth proportional to 961.46, 1,321.06 and 764.63 is: 1,050.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.46 : 1,321.06 = 764.63 : x
  2. Step 2: Convert to fraction form
    961.46/1,321.06 = 764.63/x
  3. Step 3: Cross multiply
    961.46x = 1,321.06 × 764.63
  4. Step 4: Simplify right side
    961.46x = 1,010,122.11
  5. Step 5: Solve for x
    x = 1,010,122.11/961.46
  6. Step 6: Final answer
    x = 1,050.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.