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Finding the Fourth Proportional to 547.97, 816.75 and 520.56

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Solution

The fourth proportional to 547.97, 816.75 and 520.56 is: 775.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.97 : 816.75 = 520.56 : x
  2. Step 2: Convert to fraction form
    547.97/816.75 = 520.56/x
  3. Step 3: Cross multiply
    547.97x = 816.75 × 520.56
  4. Step 4: Simplify right side
    547.97x = 425,167.38
  5. Step 5: Solve for x
    x = 425,167.38/547.97
  6. Step 6: Final answer
    x = 775.90

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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.