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Finding the Fourth Proportional to 880.75, 1,321.66 and 516.25

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Solution

The fourth proportional to 880.75, 1,321.66 and 516.25 is: 774.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.75 : 1,321.66 = 516.25 : x
  2. Step 2: Convert to fraction form
    880.75/1,321.66 = 516.25/x
  3. Step 3: Cross multiply
    880.75x = 1,321.66 × 516.25
  4. Step 4: Simplify right side
    880.75x = 682,300.37
  5. Step 5: Solve for x
    x = 682,300.37/880.75
  6. Step 6: Final answer
    x = 774.69

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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.