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Finding the Fourth Proportional to 409.56, 613.86 and 262.83

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Solution

The fourth proportional to 409.56, 613.86 and 262.83 is: 393.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.56 : 613.86 = 262.83 : x
  2. Step 2: Convert to fraction form
    409.56/613.86 = 262.83/x
  3. Step 3: Cross multiply
    409.56x = 613.86 × 262.83
  4. Step 4: Simplify right side
    409.56x = 161,340.82
  5. Step 5: Solve for x
    x = 161,340.82/409.56
  6. Step 6: Final answer
    x = 393.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.