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Finding the Fourth Proportional to 605.97, 913.19 and 548.24

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Solution

The fourth proportional to 605.97, 913.19 and 548.24 is: 826.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.97 : 913.19 = 548.24 : x
  2. Step 2: Convert to fraction form
    605.97/913.19 = 548.24/x
  3. Step 3: Cross multiply
    605.97x = 913.19 × 548.24
  4. Step 4: Simplify right side
    605.97x = 500,639.98
  5. Step 5: Solve for x
    x = 500,639.98/605.97
  6. Step 6: Final answer
    x = 826.18

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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.