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Finding the Fourth Proportional to 413.43, 573.20 and 399.93

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Solution

The fourth proportional to 413.43, 573.20 and 399.93 is: 554.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.43 : 573.20 = 399.93 : x
  2. Step 2: Convert to fraction form
    413.43/573.20 = 399.93/x
  3. Step 3: Cross multiply
    413.43x = 573.20 × 399.93
  4. Step 4: Simplify right side
    413.43x = 229,237.88
  5. Step 5: Solve for x
    x = 229,237.88/413.43
  6. Step 6: Final answer
    x = 554.48

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.