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Finding the Fourth Proportional to 423.75, 580.39 and 398.84

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Solution

The fourth proportional to 423.75, 580.39 and 398.84 is: 546.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.75 : 580.39 = 398.84 : x
  2. Step 2: Convert to fraction form
    423.75/580.39 = 398.84/x
  3. Step 3: Cross multiply
    423.75x = 580.39 × 398.84
  4. Step 4: Simplify right side
    423.75x = 231,480.30
  5. Step 5: Solve for x
    x = 231,480.30/423.75
  6. Step 6: Final answer
    x = 546.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.