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Finding the Fourth Proportional to 921.09, 1,270.83 and 571.89

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Solution

The fourth proportional to 921.09, 1,270.83 and 571.89 is: 789.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.09 : 1,270.83 = 571.89 : x
  2. Step 2: Convert to fraction form
    921.09/1,270.83 = 571.89/x
  3. Step 3: Cross multiply
    921.09x = 1,270.83 × 571.89
  4. Step 4: Simplify right side
    921.09x = 726,774.97
  5. Step 5: Solve for x
    x = 726,774.97/921.09
  6. Step 6: Final answer
    x = 789.04

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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.