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Finding the Fourth Proportional to 1,100.55, 1,648.80 and 1,027.65

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Solution

The fourth proportional to 1,100.55, 1,648.80 and 1,027.65 is: 1,539.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.55 : 1,648.80 = 1,027.65 : x
  2. Step 2: Convert to fraction form
    1,100.55/1,648.80 = 1,027.65/x
  3. Step 3: Cross multiply
    1,100.55x = 1,648.80 × 1,027.65
  4. Step 4: Simplify right side
    1,100.55x = 1,694,389.32
  5. Step 5: Solve for x
    x = 1,694,389.32/1,100.55
  6. Step 6: Final answer
    x = 1,539.58

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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.