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Finding the Fourth Proportional to 827.66, 1,143.55 and 668.80

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Solution

The fourth proportional to 827.66, 1,143.55 and 668.80 is: 924.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.66 : 1,143.55 = 668.80 : x
  2. Step 2: Convert to fraction form
    827.66/1,143.55 = 668.80/x
  3. Step 3: Cross multiply
    827.66x = 1,143.55 × 668.80
  4. Step 4: Simplify right side
    827.66x = 764,806.24
  5. Step 5: Solve for x
    x = 764,806.24/827.66
  6. Step 6: Final answer
    x = 924.06

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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.