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Finding the Fourth Proportional to 1,692.57, 2,537.62 and 767.65

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Solution

The fourth proportional to 1,692.57, 2,537.62 and 767.65 is: 1,150.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.57 : 2,537.62 = 767.65 : x
  2. Step 2: Convert to fraction form
    1,692.57/2,537.62 = 767.65/x
  3. Step 3: Cross multiply
    1,692.57x = 2,537.62 × 767.65
  4. Step 4: Simplify right side
    1,692.57x = 1,948,003.99
  5. Step 5: Solve for x
    x = 1,948,003.99/1,692.57
  6. Step 6: Final answer
    x = 1,150.91

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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.