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Finding the Fourth Proportional to 1,814.20, 2,721.48 and 659.68

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Solution

The fourth proportional to 1,814.20, 2,721.48 and 659.68 is: 989.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.20 : 2,721.48 = 659.68 : x
  2. Step 2: Convert to fraction form
    1,814.20/2,721.48 = 659.68/x
  3. Step 3: Cross multiply
    1,814.20x = 2,721.48 × 659.68
  4. Step 4: Simplify right side
    1,814.20x = 1,795,305.93
  5. Step 5: Solve for x
    x = 1,795,305.93/1,814.20
  6. Step 6: Final answer
    x = 989.59

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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.