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Finding the Fourth Proportional to 540.56, 809.42 and 448.98

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Solution

The fourth proportional to 540.56, 809.42 and 448.98 is: 672.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.56 : 809.42 = 448.98 : x
  2. Step 2: Convert to fraction form
    540.56/809.42 = 448.98/x
  3. Step 3: Cross multiply
    540.56x = 809.42 × 448.98
  4. Step 4: Simplify right side
    540.56x = 363,413.39
  5. Step 5: Solve for x
    x = 363,413.39/540.56
  6. Step 6: Final answer
    x = 672.29

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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.