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Finding the Fourth Proportional to 605.01, 911.78 and 547.31

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Solution

The fourth proportional to 605.01, 911.78 and 547.31 is: 824.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.01 : 911.78 = 547.31 : x
  2. Step 2: Convert to fraction form
    605.01/911.78 = 547.31/x
  3. Step 3: Cross multiply
    605.01x = 911.78 × 547.31
  4. Step 4: Simplify right side
    605.01x = 499,019.02
  5. Step 5: Solve for x
    x = 499,019.02/605.01
  6. Step 6: Final answer
    x = 824.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.