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Finding the Fourth Proportional to 1,107.55, 1,529.04 and 871.03

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Solution

The fourth proportional to 1,107.55, 1,529.04 and 871.03 is: 1,202.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.55 : 1,529.04 = 871.03 : x
  2. Step 2: Convert to fraction form
    1,107.55/1,529.04 = 871.03/x
  3. Step 3: Cross multiply
    1,107.55x = 1,529.04 × 871.03
  4. Step 4: Simplify right side
    1,107.55x = 1,331,839.71
  5. Step 5: Solve for x
    x = 1,331,839.71/1,107.55
  6. Step 6: Final answer
    x = 1,202.51

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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.