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Finding the Fourth Proportional to 1,091.94, 1,636.74 and 543.04

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Solution

The fourth proportional to 1,091.94, 1,636.74 and 543.04 is: 813.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.94 : 1,636.74 = 543.04 : x
  2. Step 2: Convert to fraction form
    1,091.94/1,636.74 = 543.04/x
  3. Step 3: Cross multiply
    1,091.94x = 1,636.74 × 543.04
  4. Step 4: Simplify right side
    1,091.94x = 888,815.29
  5. Step 5: Solve for x
    x = 888,815.29/1,091.94
  6. Step 6: Final answer
    x = 813.98

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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.