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Finding the Fourth Proportional to 818.36, 1,227.30 and 407.19

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Solution

The fourth proportional to 818.36, 1,227.30 and 407.19 is: 610.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.36 : 1,227.30 = 407.19 : x
  2. Step 2: Convert to fraction form
    818.36/1,227.30 = 407.19/x
  3. Step 3: Cross multiply
    818.36x = 1,227.30 × 407.19
  4. Step 4: Simplify right side
    818.36x = 499,744.29
  5. Step 5: Solve for x
    x = 499,744.29/818.36
  6. Step 6: Final answer
    x = 610.67

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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.