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Finding the Fourth Proportional to 413.80, 570.71 and 351.83

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Solution

The fourth proportional to 413.80, 570.71 and 351.83 is: 485.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.80 : 570.71 = 351.83 : x
  2. Step 2: Convert to fraction form
    413.80/570.71 = 351.83/x
  3. Step 3: Cross multiply
    413.80x = 570.71 × 351.83
  4. Step 4: Simplify right side
    413.80x = 200,795.21
  5. Step 5: Solve for x
    x = 200,795.21/413.80
  6. Step 6: Final answer
    x = 485.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.