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Finding the Fourth Proportional to 739.42, 1,106.79 and 413.80

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Solution

The fourth proportional to 739.42, 1,106.79 and 413.80 is: 619.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.42 : 1,106.79 = 413.80 : x
  2. Step 2: Convert to fraction form
    739.42/1,106.79 = 413.80/x
  3. Step 3: Cross multiply
    739.42x = 1,106.79 × 413.80
  4. Step 4: Simplify right side
    739.42x = 457,989.70
  5. Step 5: Solve for x
    x = 457,989.70/739.42
  6. Step 6: Final answer
    x = 619.39

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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.