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Finding the Fourth Proportional to 538.73, 809 and 448.01

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Solution

The fourth proportional to 538.73, 809 and 448.01 is: 672.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.73 : 809 = 448.01 : x
  2. Step 2: Convert to fraction form
    538.73/809 = 448.01/x
  3. Step 3: Cross multiply
    538.73x = 809 × 448.01
  4. Step 4: Simplify right side
    538.73x = 362,440.09
  5. Step 5: Solve for x
    x = 362,440.09/538.73
  6. Step 6: Final answer
    x = 672.77

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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.