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Finding the Fourth Proportional to 513.58, 770.72 and 188.95

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Solution

The fourth proportional to 513.58, 770.72 and 188.95 is: 283.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.58 : 770.72 = 188.95 : x
  2. Step 2: Convert to fraction form
    513.58/770.72 = 188.95/x
  3. Step 3: Cross multiply
    513.58x = 770.72 × 188.95
  4. Step 4: Simplify right side
    513.58x = 145,627.80
  5. Step 5: Solve for x
    x = 145,627.80/513.58
  6. Step 6: Final answer
    x = 283.55

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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.