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Finding the Fourth Proportional to 928.23, 1,392.48 and 311.78

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Solution

The fourth proportional to 928.23, 1,392.48 and 311.78 is: 467.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.23 : 1,392.48 = 311.78 : x
  2. Step 2: Convert to fraction form
    928.23/1,392.48 = 311.78/x
  3. Step 3: Cross multiply
    928.23x = 1,392.48 × 311.78
  4. Step 4: Simplify right side
    928.23x = 434,150.90
  5. Step 5: Solve for x
    x = 434,150.90/928.23
  6. Step 6: Final answer
    x = 467.72

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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.