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Finding the Fourth Proportional to 413.08, 622.81 and 385.24

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Solution

The fourth proportional to 413.08, 622.81 and 385.24 is: 580.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.08 : 622.81 = 385.24 : x
  2. Step 2: Convert to fraction form
    413.08/622.81 = 385.24/x
  3. Step 3: Cross multiply
    413.08x = 622.81 × 385.24
  4. Step 4: Simplify right side
    413.08x = 239,931.32
  5. Step 5: Solve for x
    x = 239,931.32/413.08
  6. Step 6: Final answer
    x = 580.84

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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.