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Finding the Fourth Proportional to 881.10, 1,314.74 and 803.49

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Solution

The fourth proportional to 881.10, 1,314.74 and 803.49 is: 1,198.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.10 : 1,314.74 = 803.49 : x
  2. Step 2: Convert to fraction form
    881.10/1,314.74 = 803.49/x
  3. Step 3: Cross multiply
    881.10x = 1,314.74 × 803.49
  4. Step 4: Simplify right side
    881.10x = 1,056,376.43
  5. Step 5: Solve for x
    x = 1,056,376.43/881.10
  6. Step 6: Final answer
    x = 1,198.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.