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Finding the Fourth Proportional to 513.85, 770.69 and 189.22

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Solution

The fourth proportional to 513.85, 770.69 and 189.22 is: 283.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.85 : 770.69 = 189.22 : x
  2. Step 2: Convert to fraction form
    513.85/770.69 = 189.22/x
  3. Step 3: Cross multiply
    513.85x = 770.69 × 189.22
  4. Step 4: Simplify right side
    513.85x = 145,827.09
  5. Step 5: Solve for x
    x = 145,827.09/513.85
  6. Step 6: Final answer
    x = 283.79

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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.