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Finding the Fourth Proportional to 1,087.73, 1,629.46 and 538.24

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Solution

The fourth proportional to 1,087.73, 1,629.46 and 538.24 is: 806.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.73 : 1,629.46 = 538.24 : x
  2. Step 2: Convert to fraction form
    1,087.73/1,629.46 = 538.24/x
  3. Step 3: Cross multiply
    1,087.73x = 1,629.46 × 538.24
  4. Step 4: Simplify right side
    1,087.73x = 877,040.55
  5. Step 5: Solve for x
    x = 877,040.55/1,087.73
  6. Step 6: Final answer
    x = 806.30

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Why These Related Problems?

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