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Finding the Fourth Proportional to 1,660.93, 2,291.77 and 997.54

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Solution

The fourth proportional to 1,660.93, 2,291.77 and 997.54 is: 1,376.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.93 : 2,291.77 = 997.54 : x
  2. Step 2: Convert to fraction form
    1,660.93/2,291.77 = 997.54/x
  3. Step 3: Cross multiply
    1,660.93x = 2,291.77 × 997.54
  4. Step 4: Simplify right side
    1,660.93x = 2,286,132.25
  5. Step 5: Solve for x
    x = 2,286,132.25/1,660.93
  6. Step 6: Final answer
    x = 1,376.42

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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.