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Finding the Fourth Proportional to 475.38, 654.66 and 413.16

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Solution

The fourth proportional to 475.38, 654.66 and 413.16 is: 568.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.38 : 654.66 = 413.16 : x
  2. Step 2: Convert to fraction form
    475.38/654.66 = 413.16/x
  3. Step 3: Cross multiply
    475.38x = 654.66 × 413.16
  4. Step 4: Simplify right side
    475.38x = 270,479.33
  5. Step 5: Solve for x
    x = 270,479.33/475.38
  6. Step 6: Final answer
    x = 568.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.