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Finding the Fourth Proportional to 944.89, 1,305.56 and 911.62

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Solution

The fourth proportional to 944.89, 1,305.56 and 911.62 is: 1,259.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.89 : 1,305.56 = 911.62 : x
  2. Step 2: Convert to fraction form
    944.89/1,305.56 = 911.62/x
  3. Step 3: Cross multiply
    944.89x = 1,305.56 × 911.62
  4. Step 4: Simplify right side
    944.89x = 1,190,174.61
  5. Step 5: Solve for x
    x = 1,190,174.61/944.89
  6. Step 6: Final answer
    x = 1,259.59

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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.