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Finding the Fourth Proportional to 413.88, 621.44 and 378.66

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Solution

The fourth proportional to 413.88, 621.44 and 378.66 is: 568.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.88 : 621.44 = 378.66 : x
  2. Step 2: Convert to fraction form
    413.88/621.44 = 378.66/x
  3. Step 3: Cross multiply
    413.88x = 621.44 × 378.66
  4. Step 4: Simplify right side
    413.88x = 235,314.47
  5. Step 5: Solve for x
    x = 235,314.47/413.88
  6. Step 6: Final answer
    x = 568.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.