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Finding the Fourth Proportional to 1,668.51, 2,503.85 and 682.11

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Solution

The fourth proportional to 1,668.51, 2,503.85 and 682.11 is: 1,023.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.51 : 2,503.85 = 682.11 : x
  2. Step 2: Convert to fraction form
    1,668.51/2,503.85 = 682.11/x
  3. Step 3: Cross multiply
    1,668.51x = 2,503.85 × 682.11
  4. Step 4: Simplify right side
    1,668.51x = 1,707,897.71
  5. Step 5: Solve for x
    x = 1,707,897.71/1,668.51
  6. Step 6: Final answer
    x = 1,023.61

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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.