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Finding the Fourth Proportional to 1,412.57, 1,950.33 and 1,080.42

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Solution

The fourth proportional to 1,412.57, 1,950.33 and 1,080.42 is: 1,491.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.57 : 1,950.33 = 1,080.42 : x
  2. Step 2: Convert to fraction form
    1,412.57/1,950.33 = 1,080.42/x
  3. Step 3: Cross multiply
    1,412.57x = 1,950.33 × 1,080.42
  4. Step 4: Simplify right side
    1,412.57x = 2,107,175.54
  5. Step 5: Solve for x
    x = 2,107,175.54/1,412.57
  6. Step 6: Final answer
    x = 1,491.74

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