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Finding the Fourth Proportional to 1,860.66, 2,791.33 and 765.81

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Solution

The fourth proportional to 1,860.66, 2,791.33 and 765.81 is: 1,148.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,860.66 : 2,791.33 = 765.81 : x
  2. Step 2: Convert to fraction form
    1,860.66/2,791.33 = 765.81/x
  3. Step 3: Cross multiply
    1,860.66x = 2,791.33 × 765.81
  4. Step 4: Simplify right side
    1,860.66x = 2,137,626.51
  5. Step 5: Solve for x
    x = 2,137,626.51/1,860.66
  6. Step 6: Final answer
    x = 1,148.85

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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.