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Finding the Fourth Proportional to 413.97, 618.12 and 353.07

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Solution

The fourth proportional to 413.97, 618.12 and 353.07 is: 527.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.97 : 618.12 = 353.07 : x
  2. Step 2: Convert to fraction form
    413.97/618.12 = 353.07/x
  3. Step 3: Cross multiply
    413.97x = 618.12 × 353.07
  4. Step 4: Simplify right side
    413.97x = 218,239.63
  5. Step 5: Solve for x
    x = 218,239.63/413.97
  6. Step 6: Final answer
    x = 527.19

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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.