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Finding the Fourth Proportional to 1,657.73, 2,286.90 and 993.43

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Solution

The fourth proportional to 1,657.73, 2,286.90 and 993.43 is: 1,370.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.73 : 2,286.90 = 993.43 : x
  2. Step 2: Convert to fraction form
    1,657.73/2,286.90 = 993.43/x
  3. Step 3: Cross multiply
    1,657.73x = 2,286.90 × 993.43
  4. Step 4: Simplify right side
    1,657.73x = 2,271,871.49
  5. Step 5: Solve for x
    x = 2,271,871.49/1,657.73
  6. Step 6: Final answer
    x = 1,370.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.