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Finding the Fourth Proportional to 1,138.28, 1,706.09 and 767.30

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Solution

The fourth proportional to 1,138.28, 1,706.09 and 767.30 is: 1,150.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.28 : 1,706.09 = 767.30 : x
  2. Step 2: Convert to fraction form
    1,138.28/1,706.09 = 767.30/x
  3. Step 3: Cross multiply
    1,138.28x = 1,706.09 × 767.30
  4. Step 4: Simplify right side
    1,138.28x = 1,309,070.49
  5. Step 5: Solve for x
    x = 1,309,070.49/1,138.28
  6. Step 6: Final answer
    x = 1,150.05

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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.