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Finding the Fourth Proportional to 1,412.64, 2,116.80 and 682.56

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Solution

The fourth proportional to 1,412.64, 2,116.80 and 682.56 is: 1,022.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.64 : 2,116.80 = 682.56 : x
  2. Step 2: Convert to fraction form
    1,412.64/2,116.80 = 682.56/x
  3. Step 3: Cross multiply
    1,412.64x = 2,116.80 × 682.56
  4. Step 4: Simplify right side
    1,412.64x = 1,444,843.01
  5. Step 5: Solve for x
    x = 1,444,843.01/1,412.64
  6. Step 6: Final answer
    x = 1,022.80

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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.