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Finding the Fourth Proportional to 1,405.85, 2,107.07 and 995.11

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Solution

The fourth proportional to 1,405.85, 2,107.07 and 995.11 is: 1,491.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.85 : 2,107.07 = 995.11 : x
  2. Step 2: Convert to fraction form
    1,405.85/2,107.07 = 995.11/x
  3. Step 3: Cross multiply
    1,405.85x = 2,107.07 × 995.11
  4. Step 4: Simplify right side
    1,405.85x = 2,096,750.92
  5. Step 5: Solve for x
    x = 2,096,750.92/1,405.85
  6. Step 6: Final answer
    x = 1,491.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.