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Finding the Fourth Proportional to 413.82, 617.87 and 355.95

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Solution

The fourth proportional to 413.82, 617.87 and 355.95 is: 531.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.82 : 617.87 = 355.95 : x
  2. Step 2: Convert to fraction form
    413.82/617.87 = 355.95/x
  3. Step 3: Cross multiply
    413.82x = 617.87 × 355.95
  4. Step 4: Simplify right side
    413.82x = 219,929.05
  5. Step 5: Solve for x
    x = 219,929.05/413.82
  6. Step 6: Final answer
    x = 531.46

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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.