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Finding the Fourth Proportional to 513.22, 770.08 and 224.62

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Solution

The fourth proportional to 513.22, 770.08 and 224.62 is: 337.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.22 : 770.08 = 224.62 : x
  2. Step 2: Convert to fraction form
    513.22/770.08 = 224.62/x
  3. Step 3: Cross multiply
    513.22x = 770.08 × 224.62
  4. Step 4: Simplify right side
    513.22x = 172,975.37
  5. Step 5: Solve for x
    x = 172,975.37/513.22
  6. Step 6: Final answer
    x = 337.04

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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.