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Finding the Fourth Proportional to 1,692.28, 2,537.81 and 767.06

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Solution

The fourth proportional to 1,692.28, 2,537.81 and 767.06 is: 1,150.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.28 : 2,537.81 = 767.06 : x
  2. Step 2: Convert to fraction form
    1,692.28/2,537.81 = 767.06/x
  3. Step 3: Cross multiply
    1,692.28x = 2,537.81 × 767.06
  4. Step 4: Simplify right side
    1,692.28x = 1,946,652.54
  5. Step 5: Solve for x
    x = 1,946,652.54/1,692.28
  6. Step 6: Final answer
    x = 1,150.31

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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.