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Finding the Fourth Proportional to 1,100.81, 1,650.05 and 684.35

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Solution

The fourth proportional to 1,100.81, 1,650.05 and 684.35 is: 1,025.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.81 : 1,650.05 = 684.35 : x
  2. Step 2: Convert to fraction form
    1,100.81/1,650.05 = 684.35/x
  3. Step 3: Cross multiply
    1,100.81x = 1,650.05 × 684.35
  4. Step 4: Simplify right side
    1,100.81x = 1,129,205.18
  5. Step 5: Solve for x
    x = 1,129,205.18/1,100.81
  6. Step 6: Final answer
    x = 1,025.79

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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.