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Finding the Fourth Proportional to 513.76, 770.80 and 189.12

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Solution

The fourth proportional to 513.76, 770.80 and 189.12 is: 283.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.76 : 770.80 = 189.12 : x
  2. Step 2: Convert to fraction form
    513.76/770.80 = 189.12/x
  3. Step 3: Cross multiply
    513.76x = 770.80 × 189.12
  4. Step 4: Simplify right side
    513.76x = 145,773.70
  5. Step 5: Solve for x
    x = 145,773.70/513.76
  6. Step 6: Final answer
    x = 283.74

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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.