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Finding the Fourth Proportional to 1,027.76, 1,539.78 and 680.27

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Solution

The fourth proportional to 1,027.76, 1,539.78 and 680.27 is: 1,019.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.76 : 1,539.78 = 680.27 : x
  2. Step 2: Convert to fraction form
    1,027.76/1,539.78 = 680.27/x
  3. Step 3: Cross multiply
    1,027.76x = 1,539.78 × 680.27
  4. Step 4: Simplify right side
    1,027.76x = 1,047,466.14
  5. Step 5: Solve for x
    x = 1,047,466.14/1,027.76
  6. Step 6: Final answer
    x = 1,019.17

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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.