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Finding the Fourth Proportional to 611.96, 911.81 and 547.28

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Solution

The fourth proportional to 611.96, 911.81 and 547.28 is: 815.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.96 : 911.81 = 547.28 : x
  2. Step 2: Convert to fraction form
    611.96/911.81 = 547.28/x
  3. Step 3: Cross multiply
    611.96x = 911.81 × 547.28
  4. Step 4: Simplify right side
    611.96x = 499,015.38
  5. Step 5: Solve for x
    x = 499,015.38/611.96
  6. Step 6: Final answer
    x = 815.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.