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Finding the Fourth Proportional to 1,164.38, 1,745.28 and 1,027.76

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Solution

The fourth proportional to 1,164.38, 1,745.28 and 1,027.76 is: 1,540.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.38 : 1,745.28 = 1,027.76 : x
  2. Step 2: Convert to fraction form
    1,164.38/1,745.28 = 1,027.76/x
  3. Step 3: Cross multiply
    1,164.38x = 1,745.28 × 1,027.76
  4. Step 4: Simplify right side
    1,164.38x = 1,793,720.25
  5. Step 5: Solve for x
    x = 1,793,720.25/1,164.38
  6. Step 6: Final answer
    x = 1,540.50

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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.