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Finding the Fourth Proportional to 492.81, 680.14 and 409.77

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Solution

The fourth proportional to 492.81, 680.14 and 409.77 is: 565.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.81 : 680.14 = 409.77 : x
  2. Step 2: Convert to fraction form
    492.81/680.14 = 409.77/x
  3. Step 3: Cross multiply
    492.81x = 680.14 × 409.77
  4. Step 4: Simplify right side
    492.81x = 278,704.03
  5. Step 5: Solve for x
    x = 278,704.03/492.81
  6. Step 6: Final answer
    x = 565.54

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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.