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Finding the Fourth Proportional to 493.45, 680.94 and 423.40

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Solution

The fourth proportional to 493.45, 680.94 and 423.40 is: 584.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.45 : 680.94 = 423.40 : x
  2. Step 2: Convert to fraction form
    493.45/680.94 = 423.40/x
  3. Step 3: Cross multiply
    493.45x = 680.94 × 423.40
  4. Step 4: Simplify right side
    493.45x = 288,310.00
  5. Step 5: Solve for x
    x = 288,310.00/493.45
  6. Step 6: Final answer
    x = 584.27

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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.