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Finding the Fourth Proportional to 513.94, 770.88 and 189.16

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Solution

The fourth proportional to 513.94, 770.88 and 189.16 is: 283.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.94 : 770.88 = 189.16 : x
  2. Step 2: Convert to fraction form
    513.94/770.88 = 189.16/x
  3. Step 3: Cross multiply
    513.94x = 770.88 × 189.16
  4. Step 4: Simplify right side
    513.94x = 145,819.66
  5. Step 5: Solve for x
    x = 145,819.66/513.94
  6. Step 6: Final answer
    x = 283.73

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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.