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Finding the Fourth Proportional to 1,063.75, 1,596.30 and 820.75

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Solution

The fourth proportional to 1,063.75, 1,596.30 and 820.75 is: 1,231.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.75 : 1,596.30 = 820.75 : x
  2. Step 2: Convert to fraction form
    1,063.75/1,596.30 = 820.75/x
  3. Step 3: Cross multiply
    1,063.75x = 1,596.30 × 820.75
  4. Step 4: Simplify right side
    1,063.75x = 1,310,163.23
  5. Step 5: Solve for x
    x = 1,310,163.23/1,063.75
  6. Step 6: Final answer
    x = 1,231.65

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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.