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Finding the Fourth Proportional to 1,027.33, 1,540.86 and 377.98

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Solution

The fourth proportional to 1,027.33, 1,540.86 and 377.98 is: 566.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.33 : 1,540.86 = 377.98 : x
  2. Step 2: Convert to fraction form
    1,027.33/1,540.86 = 377.98/x
  3. Step 3: Cross multiply
    1,027.33x = 1,540.86 × 377.98
  4. Step 4: Simplify right side
    1,027.33x = 582,414.26
  5. Step 5: Solve for x
    x = 582,414.26/1,027.33
  6. Step 6: Final answer
    x = 566.92

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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.