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Finding the Fourth Proportional to 539.52, 810.96 and 448.80

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Solution

The fourth proportional to 539.52, 810.96 and 448.80 is: 674.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.52 : 810.96 = 448.80 : x
  2. Step 2: Convert to fraction form
    539.52/810.96 = 448.80/x
  3. Step 3: Cross multiply
    539.52x = 810.96 × 448.80
  4. Step 4: Simplify right side
    539.52x = 363,958.85
  5. Step 5: Solve for x
    x = 363,958.85/539.52
  6. Step 6: Final answer
    x = 674.60

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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.