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Finding the Fourth Proportional to 547.81, 824.92 and 394.79

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Solution

The fourth proportional to 547.81, 824.92 and 394.79 is: 594.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.81 : 824.92 = 394.79 : x
  2. Step 2: Convert to fraction form
    547.81/824.92 = 394.79/x
  3. Step 3: Cross multiply
    547.81x = 824.92 × 394.79
  4. Step 4: Simplify right side
    547.81x = 325,674.24
  5. Step 5: Solve for x
    x = 325,674.24/547.81
  6. Step 6: Final answer
    x = 594.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.