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Finding the Fourth Proportional to 941.72, 1,413.99 and 812.72

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Solution

The fourth proportional to 941.72, 1,413.99 and 812.72 is: 1,220.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.72 : 1,413.99 = 812.72 : x
  2. Step 2: Convert to fraction form
    941.72/1,413.99 = 812.72/x
  3. Step 3: Cross multiply
    941.72x = 1,413.99 × 812.72
  4. Step 4: Simplify right side
    941.72x = 1,149,181.49
  5. Step 5: Solve for x
    x = 1,149,181.49/941.72
  6. Step 6: Final answer
    x = 1,220.31

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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.