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Finding the Fourth Proportional to 739.05, 1,107.16 and 413.43

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Solution

The fourth proportional to 739.05, 1,107.16 and 413.43 is: 619.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.05 : 1,107.16 = 413.43 : x
  2. Step 2: Convert to fraction form
    739.05/1,107.16 = 413.43/x
  3. Step 3: Cross multiply
    739.05x = 1,107.16 × 413.43
  4. Step 4: Simplify right side
    739.05x = 457,733.16
  5. Step 5: Solve for x
    x = 457,733.16/739.05
  6. Step 6: Final answer
    x = 619.35

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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.