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Finding the Fourth Proportional to 423.94, 584.70 and 376.73

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Solution

The fourth proportional to 423.94, 584.70 and 376.73 is: 519.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.94 : 584.70 = 376.73 : x
  2. Step 2: Convert to fraction form
    423.94/584.70 = 376.73/x
  3. Step 3: Cross multiply
    423.94x = 584.70 × 376.73
  4. Step 4: Simplify right side
    423.94x = 220,274.03
  5. Step 5: Solve for x
    x = 220,274.03/423.94
  6. Step 6: Final answer
    x = 519.59

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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.