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Finding the Fourth Proportional to 883.97, 1,326.23 and 576.44

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Solution

The fourth proportional to 883.97, 1,326.23 and 576.44 is: 864.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.97 : 1,326.23 = 576.44 : x
  2. Step 2: Convert to fraction form
    883.97/1,326.23 = 576.44/x
  3. Step 3: Cross multiply
    883.97x = 1,326.23 × 576.44
  4. Step 4: Simplify right side
    883.97x = 764,492.02
  5. Step 5: Solve for x
    x = 764,492.02/883.97
  6. Step 6: Final answer
    x = 864.84

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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.