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Finding the Fourth Proportional to 513.97, 770.77 and 189.25

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Solution

The fourth proportional to 513.97, 770.77 and 189.25 is: 283.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.97 : 770.77 = 189.25 : x
  2. Step 2: Convert to fraction form
    513.97/770.77 = 189.25/x
  3. Step 3: Cross multiply
    513.97x = 770.77 × 189.25
  4. Step 4: Simplify right side
    513.97x = 145,868.22
  5. Step 5: Solve for x
    x = 145,868.22/513.97
  6. Step 6: Final answer
    x = 283.81

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Double scale
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Similar ratio
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1.5x scale

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.