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Finding the Fourth Proportional to 413.65, 573.57 and 399.81

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Solution

The fourth proportional to 413.65, 573.57 and 399.81 is: 554.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.65 : 573.57 = 399.81 : x
  2. Step 2: Convert to fraction form
    413.65/573.57 = 399.81/x
  3. Step 3: Cross multiply
    413.65x = 573.57 × 399.81
  4. Step 4: Simplify right side
    413.65x = 229,321.53
  5. Step 5: Solve for x
    x = 229,321.53/413.65
  6. Step 6: Final answer
    x = 554.38

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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.