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Finding the Fourth Proportional to 1,027.91, 1,540.95 and 378.50

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Solution

The fourth proportional to 1,027.91, 1,540.95 and 378.50 is: 567.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.91 : 1,540.95 = 378.50 : x
  2. Step 2: Convert to fraction form
    1,027.91/1,540.95 = 378.50/x
  3. Step 3: Cross multiply
    1,027.91x = 1,540.95 × 378.50
  4. Step 4: Simplify right side
    1,027.91x = 583,241.87
  5. Step 5: Solve for x
    x = 583,241.87/1,027.91
  6. Step 6: Final answer
    x = 567.40

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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.