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Finding the Fourth Proportional to 547.05, 815.25 and 531.26

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Solution

The fourth proportional to 547.05, 815.25 and 531.26 is: 791.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.05 : 815.25 = 531.26 : x
  2. Step 2: Convert to fraction form
    547.05/815.25 = 531.26/x
  3. Step 3: Cross multiply
    547.05x = 815.25 × 531.26
  4. Step 4: Simplify right side
    547.05x = 433,107.70
  5. Step 5: Solve for x
    x = 433,107.70/547.05
  6. Step 6: Final answer
    x = 791.71

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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.