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Finding the Fourth Proportional to 607.97, 912.71 and 413.82

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Solution

The fourth proportional to 607.97, 912.71 and 413.82 is: 621.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.97 : 912.71 = 413.82 : x
  2. Step 2: Convert to fraction form
    607.97/912.71 = 413.82/x
  3. Step 3: Cross multiply
    607.97x = 912.71 × 413.82
  4. Step 4: Simplify right side
    607.97x = 377,698.69
  5. Step 5: Solve for x
    x = 377,698.69/607.97
  6. Step 6: Final answer
    x = 621.24

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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.