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Finding the Fourth Proportional to 413.80, 614.69 and 406.60

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Solution

The fourth proportional to 413.80, 614.69 and 406.60 is: 603.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.80 : 614.69 = 406.60 : x
  2. Step 2: Convert to fraction form
    413.80/614.69 = 406.60/x
  3. Step 3: Cross multiply
    413.80x = 614.69 × 406.60
  4. Step 4: Simplify right side
    413.80x = 249,932.95
  5. Step 5: Solve for x
    x = 249,932.95/413.80
  6. Step 6: Final answer
    x = 603.99

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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.