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Finding the Fourth Proportional to 1,412.69, 2,119.58 and 682.21

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Solution

The fourth proportional to 1,412.69, 2,119.58 and 682.21 is: 1,023.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.69 : 2,119.58 = 682.21 : x
  2. Step 2: Convert to fraction form
    1,412.69/2,119.58 = 682.21/x
  3. Step 3: Cross multiply
    1,412.69x = 2,119.58 × 682.21
  4. Step 4: Simplify right side
    1,412.69x = 1,445,998.67
  5. Step 5: Solve for x
    x = 1,445,998.67/1,412.69
  6. Step 6: Final answer
    x = 1,023.58

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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.