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Finding the Fourth Proportional to 981.26, 1,352.87 and 803.57

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Solution

The fourth proportional to 981.26, 1,352.87 and 803.57 is: 1,107.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.26 : 1,352.87 = 803.57 : x
  2. Step 2: Convert to fraction form
    981.26/1,352.87 = 803.57/x
  3. Step 3: Cross multiply
    981.26x = 1,352.87 × 803.57
  4. Step 4: Simplify right side
    981.26x = 1,087,120.99
  5. Step 5: Solve for x
    x = 1,087,120.99/981.26
  6. Step 6: Final answer
    x = 1,107.89

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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.