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Finding the Fourth Proportional to 1,830.33, 2,744.76 and 660.12

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Solution

The fourth proportional to 1,830.33, 2,744.76 and 660.12 is: 989.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.33 : 2,744.76 = 660.12 : x
  2. Step 2: Convert to fraction form
    1,830.33/2,744.76 = 660.12/x
  3. Step 3: Cross multiply
    1,830.33x = 2,744.76 × 660.12
  4. Step 4: Simplify right side
    1,830.33x = 1,811,870.97
  5. Step 5: Solve for x
    x = 1,811,870.97/1,830.33
  6. Step 6: Final answer
    x = 989.91

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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.