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Finding the Fourth Proportional to 1,090.56, 1,636.16 and 321.06

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Solution

The fourth proportional to 1,090.56, 1,636.16 and 321.06 is: 481.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.56 : 1,636.16 = 321.06 : x
  2. Step 2: Convert to fraction form
    1,090.56/1,636.16 = 321.06/x
  3. Step 3: Cross multiply
    1,090.56x = 1,636.16 × 321.06
  4. Step 4: Simplify right side
    1,090.56x = 525,305.53
  5. Step 5: Solve for x
    x = 525,305.53/1,090.56
  6. Step 6: Final answer
    x = 481.68

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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.