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Finding the Fourth Proportional to 547.56, 821.75 and 410.94

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Solution

The fourth proportional to 547.56, 821.75 and 410.94 is: 616.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.56 : 821.75 = 410.94 : x
  2. Step 2: Convert to fraction form
    547.56/821.75 = 410.94/x
  3. Step 3: Cross multiply
    547.56x = 821.75 × 410.94
  4. Step 4: Simplify right side
    547.56x = 337,687.89
  5. Step 5: Solve for x
    x = 337,687.89/547.56
  6. Step 6: Final answer
    x = 616.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.