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Finding the Fourth Proportional to 413.54, 567.21 and 364.34

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Solution

The fourth proportional to 413.54, 567.21 and 364.34 is: 499.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.54 : 567.21 = 364.34 : x
  2. Step 2: Convert to fraction form
    413.54/567.21 = 364.34/x
  3. Step 3: Cross multiply
    413.54x = 567.21 × 364.34
  4. Step 4: Simplify right side
    413.54x = 206,657.29
  5. Step 5: Solve for x
    x = 206,657.29/413.54
  6. Step 6: Final answer
    x = 499.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.