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Finding the Fourth Proportional to 928.09, 1,392.34 and 311.78

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Solution

The fourth proportional to 928.09, 1,392.34 and 311.78 is: 467.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.09 : 1,392.34 = 311.78 : x
  2. Step 2: Convert to fraction form
    928.09/1,392.34 = 311.78/x
  3. Step 3: Cross multiply
    928.09x = 1,392.34 × 311.78
  4. Step 4: Simplify right side
    928.09x = 434,098.34
  5. Step 5: Solve for x
    x = 434,098.34/928.09
  6. Step 6: Final answer
    x = 467.73

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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.