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Finding the Fourth Proportional to 1,958.42, 2,937.66 and 659.96

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Solution

The fourth proportional to 1,958.42, 2,937.66 and 659.96 is: 989.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.42 : 2,937.66 = 659.96 : x
  2. Step 2: Convert to fraction form
    1,958.42/2,937.66 = 659.96/x
  3. Step 3: Cross multiply
    1,958.42x = 2,937.66 × 659.96
  4. Step 4: Simplify right side
    1,958.42x = 1,938,738.09
  5. Step 5: Solve for x
    x = 1,938,738.09/1,958.42
  6. Step 6: Final answer
    x = 989.95

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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.