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Finding the Fourth Proportional to 818.21, 1,227.36 and 385.67

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Solution

The fourth proportional to 818.21, 1,227.36 and 385.67 is: 578.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.21 : 1,227.36 = 385.67 : x
  2. Step 2: Convert to fraction form
    818.21/1,227.36 = 385.67/x
  3. Step 3: Cross multiply
    818.21x = 1,227.36 × 385.67
  4. Step 4: Simplify right side
    818.21x = 473,355.93
  5. Step 5: Solve for x
    x = 473,355.93/818.21
  6. Step 6: Final answer
    x = 578.53

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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.