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Finding the Fourth Proportional to 1,668.50, 2,302.33 and 996.18

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Solution

The fourth proportional to 1,668.50, 2,302.33 and 996.18 is: 1,374.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.50 : 2,302.33 = 996.18 : x
  2. Step 2: Convert to fraction form
    1,668.50/2,302.33 = 996.18/x
  3. Step 3: Cross multiply
    1,668.50x = 2,302.33 × 996.18
  4. Step 4: Simplify right side
    1,668.50x = 2,293,535.10
  5. Step 5: Solve for x
    x = 2,293,535.10/1,668.50
  6. Step 6: Final answer
    x = 1,374.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.