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Finding the Fourth Proportional to 1,660.48, 2,290 and 997.09

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Solution

The fourth proportional to 1,660.48, 2,290 and 997.09 is: 1,375.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.48 : 2,290 = 997.09 : x
  2. Step 2: Convert to fraction form
    1,660.48/2,290 = 997.09/x
  3. Step 3: Cross multiply
    1,660.48x = 2,290 × 997.09
  4. Step 4: Simplify right side
    1,660.48x = 2,283,336.10
  5. Step 5: Solve for x
    x = 2,283,336.10/1,660.48
  6. Step 6: Final answer
    x = 1,375.11

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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.