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Finding the Fourth Proportional to 413.41, 617.51 and 376.96

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Solution

The fourth proportional to 413.41, 617.51 and 376.96 is: 563.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.41 : 617.51 = 376.96 : x
  2. Step 2: Convert to fraction form
    413.41/617.51 = 376.96/x
  3. Step 3: Cross multiply
    413.41x = 617.51 × 376.96
  4. Step 4: Simplify right side
    413.41x = 232,776.57
  5. Step 5: Solve for x
    x = 232,776.57/413.41
  6. Step 6: Final answer
    x = 563.06

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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.