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Finding the Fourth Proportional to 1,126.39, 1,689.03 and 682.10

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Solution

The fourth proportional to 1,126.39, 1,689.03 and 682.10 is: 1,022.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.39 : 1,689.03 = 682.10 : x
  2. Step 2: Convert to fraction form
    1,126.39/1,689.03 = 682.10/x
  3. Step 3: Cross multiply
    1,126.39x = 1,689.03 × 682.10
  4. Step 4: Simplify right side
    1,126.39x = 1,152,087.36
  5. Step 5: Solve for x
    x = 1,152,087.36/1,126.39
  6. Step 6: Final answer
    x = 1,022.81

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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.