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Finding the Fourth Proportional to 1,090.80, 1,636.43 and 441.54

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Solution

The fourth proportional to 1,090.80, 1,636.43 and 441.54 is: 662.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.80 : 1,636.43 = 441.54 : x
  2. Step 2: Convert to fraction form
    1,090.80/1,636.43 = 441.54/x
  3. Step 3: Cross multiply
    1,090.80x = 1,636.43 × 441.54
  4. Step 4: Simplify right side
    1,090.80x = 722,547.09
  5. Step 5: Solve for x
    x = 722,547.09/1,090.80
  6. Step 6: Final answer
    x = 662.40

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1.5x scale

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.