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Finding the Fourth Proportional to 1,181.56, 1,772.28 and 488.05

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Solution

The fourth proportional to 1,181.56, 1,772.28 and 488.05 is: 732.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.56 : 1,772.28 = 488.05 : x
  2. Step 2: Convert to fraction form
    1,181.56/1,772.28 = 488.05/x
  3. Step 3: Cross multiply
    1,181.56x = 1,772.28 × 488.05
  4. Step 4: Simplify right side
    1,181.56x = 864,961.25
  5. Step 5: Solve for x
    x = 864,961.25/1,181.56
  6. Step 6: Final answer
    x = 732.05

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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.