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Finding the Fourth Proportional to 547.28, 822.84 and 505.04

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Solution

The fourth proportional to 547.28, 822.84 and 505.04 is: 759.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.28 : 822.84 = 505.04 : x
  2. Step 2: Convert to fraction form
    547.28/822.84 = 505.04/x
  3. Step 3: Cross multiply
    547.28x = 822.84 × 505.04
  4. Step 4: Simplify right side
    547.28x = 415,567.11
  5. Step 5: Solve for x
    x = 415,567.11/547.28
  6. Step 6: Final answer
    x = 759.33

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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.