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Finding the Fourth Proportional to 413.55, 622.77 and 360.09

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Solution

The fourth proportional to 413.55, 622.77 and 360.09 is: 542.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.55 : 622.77 = 360.09 : x
  2. Step 2: Convert to fraction form
    413.55/622.77 = 360.09/x
  3. Step 3: Cross multiply
    413.55x = 622.77 × 360.09
  4. Step 4: Simplify right side
    413.55x = 224,253.25
  5. Step 5: Solve for x
    x = 224,253.25/413.55
  6. Step 6: Final answer
    x = 542.26

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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.