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Finding the Fourth Proportional to 1,170.52, 1,747.25 and 1,083.64

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Solution

The fourth proportional to 1,170.52, 1,747.25 and 1,083.64 is: 1,617.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.52 : 1,747.25 = 1,083.64 : x
  2. Step 2: Convert to fraction form
    1,170.52/1,747.25 = 1,083.64/x
  3. Step 3: Cross multiply
    1,170.52x = 1,747.25 × 1,083.64
  4. Step 4: Simplify right side
    1,170.52x = 1,893,389.99
  5. Step 5: Solve for x
    x = 1,893,389.99/1,170.52
  6. Step 6: Final answer
    x = 1,617.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.