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Finding the Fourth Proportional to 413.16, 622.61 and 409.48

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Solution

The fourth proportional to 413.16, 622.61 and 409.48 is: 617.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.16 : 622.61 = 409.48 : x
  2. Step 2: Convert to fraction form
    413.16/622.61 = 409.48/x
  3. Step 3: Cross multiply
    413.16x = 622.61 × 409.48
  4. Step 4: Simplify right side
    413.16x = 254,946.34
  5. Step 5: Solve for x
    x = 254,946.34/413.16
  6. Step 6: Final answer
    x = 617.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.