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Finding the Fourth Proportional to 610.09, 842.07 and 413.80

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Solution

The fourth proportional to 610.09, 842.07 and 413.80 is: 571.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.09 : 842.07 = 413.80 : x
  2. Step 2: Convert to fraction form
    610.09/842.07 = 413.80/x
  3. Step 3: Cross multiply
    610.09x = 842.07 × 413.80
  4. Step 4: Simplify right side
    610.09x = 348,448.57
  5. Step 5: Solve for x
    x = 348,448.57/610.09
  6. Step 6: Final answer
    x = 571.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.