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Finding the Fourth Proportional to 883.63, 1,321.80 and 803.44

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Solution

The fourth proportional to 883.63, 1,321.80 and 803.44 is: 1,201.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.63 : 1,321.80 = 803.44 : x
  2. Step 2: Convert to fraction form
    883.63/1,321.80 = 803.44/x
  3. Step 3: Cross multiply
    883.63x = 1,321.80 × 803.44
  4. Step 4: Simplify right side
    883.63x = 1,061,985.63
  5. Step 5: Solve for x
    x = 1,061,985.63/883.63
  6. Step 6: Final answer
    x = 1,201.84

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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.