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Finding the Fourth Proportional to 493.71, 680.15 and 409.37

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Solution

The fourth proportional to 493.71, 680.15 and 409.37 is: 563.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.71 : 680.15 = 409.37 : x
  2. Step 2: Convert to fraction form
    493.71/680.15 = 409.37/x
  3. Step 3: Cross multiply
    493.71x = 680.15 × 409.37
  4. Step 4: Simplify right side
    493.71x = 278,429.60
  5. Step 5: Solve for x
    x = 278,429.60/493.71
  6. Step 6: Final answer
    x = 563.96

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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.