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Finding the Fourth Proportional to 494.55, 737.94 and 413.55

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Solution

The fourth proportional to 494.55, 737.94 and 413.55 is: 617.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.55 : 737.94 = 413.55 : x
  2. Step 2: Convert to fraction form
    494.55/737.94 = 413.55/x
  3. Step 3: Cross multiply
    494.55x = 737.94 × 413.55
  4. Step 4: Simplify right side
    494.55x = 305,175.09
  5. Step 5: Solve for x
    x = 305,175.09/494.55
  6. Step 6: Final answer
    x = 617.08

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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.