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Finding the Fourth Proportional to 423.40, 580.55 and 381.79

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Solution

The fourth proportional to 423.40, 580.55 and 381.79 is: 523.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.40 : 580.55 = 381.79 : x
  2. Step 2: Convert to fraction form
    423.40/580.55 = 381.79/x
  3. Step 3: Cross multiply
    423.40x = 580.55 × 381.79
  4. Step 4: Simplify right side
    423.40x = 221,648.18
  5. Step 5: Solve for x
    x = 221,648.18/423.40
  6. Step 6: Final answer
    x = 523.50

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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.