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Finding the Fourth Proportional to 1,862.42, 2,794.50 and 767.57

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Solution

The fourth proportional to 1,862.42, 2,794.50 and 767.57 is: 1,151.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.42 : 2,794.50 = 767.57 : x
  2. Step 2: Convert to fraction form
    1,862.42/2,794.50 = 767.57/x
  3. Step 3: Cross multiply
    1,862.42x = 2,794.50 × 767.57
  4. Step 4: Simplify right side
    1,862.42x = 2,144,960.39
  5. Step 5: Solve for x
    x = 2,144,960.39/1,862.42
  6. Step 6: Final answer
    x = 1,151.71

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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.