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Finding the Fourth Proportional to 539.05, 808.47 and 448.33

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Solution

The fourth proportional to 539.05, 808.47 and 448.33 is: 672.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.05 : 808.47 = 448.33 : x
  2. Step 2: Convert to fraction form
    539.05/808.47 = 448.33/x
  3. Step 3: Cross multiply
    539.05x = 808.47 × 448.33
  4. Step 4: Simplify right side
    539.05x = 362,461.36
  5. Step 5: Solve for x
    x = 362,461.36/539.05
  6. Step 6: Final answer
    x = 672.41

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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.