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Finding the Fourth Proportional to 1,412.76, 1,950.58 and 1,080.61

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Solution

The fourth proportional to 1,412.76, 1,950.58 and 1,080.61 is: 1,491.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.76 : 1,950.58 = 1,080.61 : x
  2. Step 2: Convert to fraction form
    1,412.76/1,950.58 = 1,080.61/x
  3. Step 3: Cross multiply
    1,412.76x = 1,950.58 × 1,080.61
  4. Step 4: Simplify right side
    1,412.76x = 2,107,812.73
  5. Step 5: Solve for x
    x = 2,107,812.73/1,412.76
  6. Step 6: Final answer
    x = 1,491.98

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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.