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Finding the Fourth Proportional to 926.98, 1,391.11 and 838.73

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Solution

The fourth proportional to 926.98, 1,391.11 and 838.73 is: 1,258.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.98 : 1,391.11 = 838.73 : x
  2. Step 2: Convert to fraction form
    926.98/1,391.11 = 838.73/x
  3. Step 3: Cross multiply
    926.98x = 1,391.11 × 838.73
  4. Step 4: Simplify right side
    926.98x = 1,166,767.07
  5. Step 5: Solve for x
    x = 1,166,767.07/926.98
  6. Step 6: Final answer
    x = 1,258.68

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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.