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Finding the Fourth Proportional to 766.37, 1,149.55 and 189.24

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Solution

The fourth proportional to 766.37, 1,149.55 and 189.24 is: 283.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.37 : 1,149.55 = 189.24 : x
  2. Step 2: Convert to fraction form
    766.37/1,149.55 = 189.24/x
  3. Step 3: Cross multiply
    766.37x = 1,149.55 × 189.24
  4. Step 4: Simplify right side
    766.37x = 217,540.84
  5. Step 5: Solve for x
    x = 217,540.84/766.37
  6. Step 6: Final answer
    x = 283.86

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Double scale
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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.