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Finding the Fourth Proportional to 1,325.43, 1,983.17 and 825.26

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Solution

The fourth proportional to 1,325.43, 1,983.17 and 825.26 is: 1,234.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.43 : 1,983.17 = 825.26 : x
  2. Step 2: Convert to fraction form
    1,325.43/1,983.17 = 825.26/x
  3. Step 3: Cross multiply
    1,325.43x = 1,983.17 × 825.26
  4. Step 4: Simplify right side
    1,325.43x = 1,636,630.87
  5. Step 5: Solve for x
    x = 1,636,630.87/1,325.43
  6. Step 6: Final answer
    x = 1,234.79

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1.5x scale

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.