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Finding the Fourth Proportional to 1,091.80, 1,636.08 and 628.89

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Solution

The fourth proportional to 1,091.80, 1,636.08 and 628.89 is: 942.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.80 : 1,636.08 = 628.89 : x
  2. Step 2: Convert to fraction form
    1,091.80/1,636.08 = 628.89/x
  3. Step 3: Cross multiply
    1,091.80x = 1,636.08 × 628.89
  4. Step 4: Simplify right side
    1,091.80x = 1,028,914.35
  5. Step 5: Solve for x
    x = 1,028,914.35/1,091.80
  6. Step 6: Final answer
    x = 942.40

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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.