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Finding the Fourth Proportional to 427.81, 589.81 and 327.92

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Solution

The fourth proportional to 427.81, 589.81 and 327.92 is: 452.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.81 : 589.81 = 327.92 : x
  2. Step 2: Convert to fraction form
    427.81/589.81 = 327.92/x
  3. Step 3: Cross multiply
    427.81x = 589.81 × 327.92
  4. Step 4: Simplify right side
    427.81x = 193,411.40
  5. Step 5: Solve for x
    x = 193,411.40/427.81
  6. Step 6: Final answer
    x = 452.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.