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Finding the Fourth Proportional to 413.68, 623.32 and 343.12

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Solution

The fourth proportional to 413.68, 623.32 and 343.12 is: 517.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.68 : 623.32 = 343.12 : x
  2. Step 2: Convert to fraction form
    413.68/623.32 = 343.12/x
  3. Step 3: Cross multiply
    413.68x = 623.32 × 343.12
  4. Step 4: Simplify right side
    413.68x = 213,873.56
  5. Step 5: Solve for x
    x = 213,873.56/413.68
  6. Step 6: Final answer
    x = 517.00

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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.