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Finding the Fourth Proportional to 1,829.38, 2,743.39 and 659.07

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Solution

The fourth proportional to 1,829.38, 2,743.39 and 659.07 is: 988.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.38 : 2,743.39 = 659.07 : x
  2. Step 2: Convert to fraction form
    1,829.38/2,743.39 = 659.07/x
  3. Step 3: Cross multiply
    1,829.38x = 2,743.39 × 659.07
  4. Step 4: Simplify right side
    1,829.38x = 1,808,069.04
  5. Step 5: Solve for x
    x = 1,808,069.04/1,829.38
  6. Step 6: Final answer
    x = 988.35

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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.