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Finding the Fourth Proportional to 505.08, 755.82 and 413.64

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Solution

The fourth proportional to 505.08, 755.82 and 413.64 is: 618.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.08 : 755.82 = 413.64 : x
  2. Step 2: Convert to fraction form
    505.08/755.82 = 413.64/x
  3. Step 3: Cross multiply
    505.08x = 755.82 × 413.64
  4. Step 4: Simplify right side
    505.08x = 312,637.38
  5. Step 5: Solve for x
    x = 312,637.38/505.08
  6. Step 6: Final answer
    x = 618.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.