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Finding the Fourth Proportional to 1,691.78, 2,537.90 and 767.57

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Solution

The fourth proportional to 1,691.78, 2,537.90 and 767.57 is: 1,151.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.78 : 2,537.90 = 767.57 : x
  2. Step 2: Convert to fraction form
    1,691.78/2,537.90 = 767.57/x
  3. Step 3: Cross multiply
    1,691.78x = 2,537.90 × 767.57
  4. Step 4: Simplify right side
    1,691.78x = 1,947,999.38
  5. Step 5: Solve for x
    x = 1,947,999.38/1,691.78
  6. Step 6: Final answer
    x = 1,151.45

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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.