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Finding the Fourth Proportional to 547.99, 822.40 and 274.38

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Solution

The fourth proportional to 547.99, 822.40 and 274.38 is: 411.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.99 : 822.40 = 274.38 : x
  2. Step 2: Convert to fraction form
    547.99/822.40 = 274.38/x
  3. Step 3: Cross multiply
    547.99x = 822.40 × 274.38
  4. Step 4: Simplify right side
    547.99x = 225,650.11
  5. Step 5: Solve for x
    x = 225,650.11/547.99
  6. Step 6: Final answer
    x = 411.78

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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.