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Finding the Fourth Proportional to 818.14, 1,227.22 and 407.78

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Solution

The fourth proportional to 818.14, 1,227.22 and 407.78 is: 611.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.14 : 1,227.22 = 407.78 : x
  2. Step 2: Convert to fraction form
    818.14/1,227.22 = 407.78/x
  3. Step 3: Cross multiply
    818.14x = 1,227.22 × 407.78
  4. Step 4: Simplify right side
    818.14x = 500,435.77
  5. Step 5: Solve for x
    x = 500,435.77/818.14
  6. Step 6: Final answer
    x = 611.67

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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.