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Finding the Fourth Proportional to 493.80, 680.42 and 346.60

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Solution

The fourth proportional to 493.80, 680.42 and 346.60 is: 477.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.80 : 680.42 = 346.60 : x
  2. Step 2: Convert to fraction form
    493.80/680.42 = 346.60/x
  3. Step 3: Cross multiply
    493.80x = 680.42 × 346.60
  4. Step 4: Simplify right side
    493.80x = 235,833.57
  5. Step 5: Solve for x
    x = 235,833.57/493.80
  6. Step 6: Final answer
    x = 477.59

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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.