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Finding the Fourth Proportional to 928.50, 1,391.46 and 838.62

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Solution

The fourth proportional to 928.50, 1,391.46 and 838.62 is: 1,256.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.50 : 1,391.46 = 838.62 : x
  2. Step 2: Convert to fraction form
    928.50/1,391.46 = 838.62/x
  3. Step 3: Cross multiply
    928.50x = 1,391.46 × 838.62
  4. Step 4: Simplify right side
    928.50x = 1,166,906.19
  5. Step 5: Solve for x
    x = 1,166,906.19/928.50
  6. Step 6: Final answer
    x = 1,256.76

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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.