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Finding the Fourth Proportional to 413.85, 617.25 and 362.82

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Solution

The fourth proportional to 413.85, 617.25 and 362.82 is: 541.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.85 : 617.25 = 362.82 : x
  2. Step 2: Convert to fraction form
    413.85/617.25 = 362.82/x
  3. Step 3: Cross multiply
    413.85x = 617.25 × 362.82
  4. Step 4: Simplify right side
    413.85x = 223,950.65
  5. Step 5: Solve for x
    x = 223,950.65/413.85
  6. Step 6: Final answer
    x = 541.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.