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Finding the Fourth Proportional to 662.26, 913.75 and 413.70

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Solution

The fourth proportional to 662.26, 913.75 and 413.70 is: 570.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.26 : 913.75 = 413.70 : x
  2. Step 2: Convert to fraction form
    662.26/913.75 = 413.70/x
  3. Step 3: Cross multiply
    662.26x = 913.75 × 413.70
  4. Step 4: Simplify right side
    662.26x = 378,018.38
  5. Step 5: Solve for x
    x = 378,018.38/662.26
  6. Step 6: Final answer
    x = 570.80

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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.