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Finding the Fourth Proportional to 490.61, 676.82 and 392.51

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Solution

The fourth proportional to 490.61, 676.82 and 392.51 is: 541.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.61 : 676.82 = 392.51 : x
  2. Step 2: Convert to fraction form
    490.61/676.82 = 392.51/x
  3. Step 3: Cross multiply
    490.61x = 676.82 × 392.51
  4. Step 4: Simplify right side
    490.61x = 265,658.62
  5. Step 5: Solve for x
    x = 265,658.62/490.61
  6. Step 6: Final answer
    x = 541.49

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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.