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Finding the Fourth Proportional to 547.97, 817.70 and 513.03

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Solution

The fourth proportional to 547.97, 817.70 and 513.03 is: 765.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.97 : 817.70 = 513.03 : x
  2. Step 2: Convert to fraction form
    547.97/817.70 = 513.03/x
  3. Step 3: Cross multiply
    547.97x = 817.70 × 513.03
  4. Step 4: Simplify right side
    547.97x = 419,505.13
  5. Step 5: Solve for x
    x = 419,505.13/547.97
  6. Step 6: Final answer
    x = 765.57

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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.