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Finding the Fourth Proportional to 1,830.85, 2,744.60 and 659.89

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Solution

The fourth proportional to 1,830.85, 2,744.60 and 659.89 is: 989.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.85 : 2,744.60 = 659.89 : x
  2. Step 2: Convert to fraction form
    1,830.85/2,744.60 = 659.89/x
  3. Step 3: Cross multiply
    1,830.85x = 2,744.60 × 659.89
  4. Step 4: Simplify right side
    1,830.85x = 1,811,123.93
  5. Step 5: Solve for x
    x = 1,811,123.93/1,830.85
  6. Step 6: Final answer
    x = 989.23

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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.