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Finding the Fourth Proportional to 1,211.45, 1,817.30 and 389.75

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Solution

The fourth proportional to 1,211.45, 1,817.30 and 389.75 is: 584.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.45 : 1,817.30 = 389.75 : x
  2. Step 2: Convert to fraction form
    1,211.45/1,817.30 = 389.75/x
  3. Step 3: Cross multiply
    1,211.45x = 1,817.30 × 389.75
  4. Step 4: Simplify right side
    1,211.45x = 708,292.68
  5. Step 5: Solve for x
    x = 708,292.68/1,211.45
  6. Step 6: Final answer
    x = 584.67

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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.