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Finding the Fourth Proportional to 811, 1,215.96 and 377.92

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Solution

The fourth proportional to 811, 1,215.96 and 377.92 is: 566.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    811 : 1,215.96 = 377.92 : x
  2. Step 2: Convert to fraction form
    811/1,215.96 = 377.92/x
  3. Step 3: Cross multiply
    811x = 1,215.96 × 377.92
  4. Step 4: Simplify right side
    811x = 459,535.60
  5. Step 5: Solve for x
    x = 459,535.60/811
  6. Step 6: Final answer
    x = 566.63

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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.