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Finding the Fourth Proportional to 1,090.46, 1,635.68 and 441.65

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Solution

The fourth proportional to 1,090.46, 1,635.68 and 441.65 is: 662.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.46 : 1,635.68 = 441.65 : x
  2. Step 2: Convert to fraction form
    1,090.46/1,635.68 = 441.65/x
  3. Step 3: Cross multiply
    1,090.46x = 1,635.68 × 441.65
  4. Step 4: Simplify right side
    1,090.46x = 722,389.89
  5. Step 5: Solve for x
    x = 722,389.89/1,090.46
  6. Step 6: Final answer
    x = 662.47

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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.