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Finding the Fourth Proportional to 561.23, 839.66 and 413.99

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Solution

The fourth proportional to 561.23, 839.66 and 413.99 is: 619.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.23 : 839.66 = 413.99 : x
  2. Step 2: Convert to fraction form
    561.23/839.66 = 413.99/x
  3. Step 3: Cross multiply
    561.23x = 839.66 × 413.99
  4. Step 4: Simplify right side
    561.23x = 347,604.58
  5. Step 5: Solve for x
    x = 347,604.58/561.23
  6. Step 6: Final answer
    x = 619.37

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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.