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Finding the Fourth Proportional to 490.72, 676.61 and 424.21

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Solution

The fourth proportional to 490.72, 676.61 and 424.21 is: 584.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.72 : 676.61 = 424.21 : x
  2. Step 2: Convert to fraction form
    490.72/676.61 = 424.21/x
  3. Step 3: Cross multiply
    490.72x = 676.61 × 424.21
  4. Step 4: Simplify right side
    490.72x = 287,024.73
  5. Step 5: Solve for x
    x = 287,024.73/490.72
  6. Step 6: Final answer
    x = 584.91

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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.