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Finding the Fourth Proportional to 1,091.60, 1,636.18 and 629.36

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Solution

The fourth proportional to 1,091.60, 1,636.18 and 629.36 is: 943.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.60 : 1,636.18 = 629.36 : x
  2. Step 2: Convert to fraction form
    1,091.60/1,636.18 = 629.36/x
  3. Step 3: Cross multiply
    1,091.60x = 1,636.18 × 629.36
  4. Step 4: Simplify right side
    1,091.60x = 1,029,746.24
  5. Step 5: Solve for x
    x = 1,029,746.24/1,091.60
  6. Step 6: Final answer
    x = 943.34

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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.