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Finding the Fourth Proportional to 1,100.40, 1,636.44 and 1,065.80

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Solution

The fourth proportional to 1,100.40, 1,636.44 and 1,065.80 is: 1,584.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.40 : 1,636.44 = 1,065.80 : x
  2. Step 2: Convert to fraction form
    1,100.40/1,636.44 = 1,065.80/x
  3. Step 3: Cross multiply
    1,100.40x = 1,636.44 × 1,065.80
  4. Step 4: Simplify right side
    1,100.40x = 1,744,117.75
  5. Step 5: Solve for x
    x = 1,744,117.75/1,100.40
  6. Step 6: Final answer
    x = 1,584.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.