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Finding the Fourth Proportional to 1,189.15, 1,782 and 818.57

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Solution

The fourth proportional to 1,189.15, 1,782 and 818.57 is: 1,226.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.15 : 1,782 = 818.57 : x
  2. Step 2: Convert to fraction form
    1,189.15/1,782 = 818.57/x
  3. Step 3: Cross multiply
    1,189.15x = 1,782 × 818.57
  4. Step 4: Simplify right side
    1,189.15x = 1,458,696.20
  5. Step 5: Solve for x
    x = 1,458,696.20/1,189.15
  6. Step 6: Final answer
    x = 1,226.67

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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.