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Finding the Fourth Proportional to 1,107.56, 1,528.58 and 1,073.56

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Solution

The fourth proportional to 1,107.56, 1,528.58 and 1,073.56 is: 1,481.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.56 : 1,528.58 = 1,073.56 : x
  2. Step 2: Convert to fraction form
    1,107.56/1,528.58 = 1,073.56/x
  3. Step 3: Cross multiply
    1,107.56x = 1,528.58 × 1,073.56
  4. Step 4: Simplify right side
    1,107.56x = 1,641,022.34
  5. Step 5: Solve for x
    x = 1,641,022.34/1,107.56
  6. Step 6: Final answer
    x = 1,481.66

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Why These Related Problems?

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