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Finding the Fourth Proportional to 1,830.71, 2,745.70 and 660.68

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Solution

The fourth proportional to 1,830.71, 2,745.70 and 660.68 is: 990.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.71 : 2,745.70 = 660.68 : x
  2. Step 2: Convert to fraction form
    1,830.71/2,745.70 = 660.68/x
  3. Step 3: Cross multiply
    1,830.71x = 2,745.70 × 660.68
  4. Step 4: Simplify right side
    1,830.71x = 1,814,029.08
  5. Step 5: Solve for x
    x = 1,814,029.08/1,830.71
  6. Step 6: Final answer
    x = 990.89

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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.