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Finding the Fourth Proportional to 541.28, 810.09 and 450.15

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Solution

The fourth proportional to 541.28, 810.09 and 450.15 is: 673.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.28 : 810.09 = 450.15 : x
  2. Step 2: Convert to fraction form
    541.28/810.09 = 450.15/x
  3. Step 3: Cross multiply
    541.28x = 810.09 × 450.15
  4. Step 4: Simplify right side
    541.28x = 364,662.01
  5. Step 5: Solve for x
    x = 364,662.01/541.28
  6. Step 6: Final answer
    x = 673.71

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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.