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Finding the Fourth Proportional to 1,206.03, 1,664.49 and 682.17

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Solution

The fourth proportional to 1,206.03, 1,664.49 and 682.17 is: 941.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.03 : 1,664.49 = 682.17 : x
  2. Step 2: Convert to fraction form
    1,206.03/1,664.49 = 682.17/x
  3. Step 3: Cross multiply
    1,206.03x = 1,664.49 × 682.17
  4. Step 4: Simplify right side
    1,206.03x = 1,135,465.14
  5. Step 5: Solve for x
    x = 1,135,465.14/1,206.03
  6. Step 6: Final answer
    x = 941.49

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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.