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Finding the Fourth Proportional to 1,181.37, 1,772.45 and 978.03

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Solution

The fourth proportional to 1,181.37, 1,772.45 and 978.03 is: 1,467.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.37 : 1,772.45 = 978.03 : x
  2. Step 2: Convert to fraction form
    1,181.37/1,772.45 = 978.03/x
  3. Step 3: Cross multiply
    1,181.37x = 1,772.45 × 978.03
  4. Step 4: Simplify right side
    1,181.37x = 1,733,504.38
  5. Step 5: Solve for x
    x = 1,733,504.38/1,181.37
  6. Step 6: Final answer
    x = 1,467.37

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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.