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Finding the Fourth Proportional to 419.36, 581.17 and 413.49

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Solution

The fourth proportional to 419.36, 581.17 and 413.49 is: 573.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.36 : 581.17 = 413.49 : x
  2. Step 2: Convert to fraction form
    419.36/581.17 = 413.49/x
  3. Step 3: Cross multiply
    419.36x = 581.17 × 413.49
  4. Step 4: Simplify right side
    419.36x = 240,308.50
  5. Step 5: Solve for x
    x = 240,308.50/419.36
  6. Step 6: Final answer
    x = 573.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.