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Finding the Fourth Proportional to 413.47, 622.60 and 341.03

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Solution

The fourth proportional to 413.47, 622.60 and 341.03 is: 513.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.47 : 622.60 = 341.03 : x
  2. Step 2: Convert to fraction form
    413.47/622.60 = 341.03/x
  3. Step 3: Cross multiply
    413.47x = 622.60 × 341.03
  4. Step 4: Simplify right side
    413.47x = 212,325.28
  5. Step 5: Solve for x
    x = 212,325.28/413.47
  6. Step 6: Final answer
    x = 513.52

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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.