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Finding the Fourth Proportional to 1,027.78, 1,540.74 and 378.06

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Solution

The fourth proportional to 1,027.78, 1,540.74 and 378.06 is: 566.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.78 : 1,540.74 = 378.06 : x
  2. Step 2: Convert to fraction form
    1,027.78/1,540.74 = 378.06/x
  3. Step 3: Cross multiply
    1,027.78x = 1,540.74 × 378.06
  4. Step 4: Simplify right side
    1,027.78x = 582,492.16
  5. Step 5: Solve for x
    x = 582,492.16/1,027.78
  6. Step 6: Final answer
    x = 566.75

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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.