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Finding the Fourth Proportional to 1,195.31, 1,790.77 and 761.55

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Solution

The fourth proportional to 1,195.31, 1,790.77 and 761.55 is: 1,140.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.31 : 1,790.77 = 761.55 : x
  2. Step 2: Convert to fraction form
    1,195.31/1,790.77 = 761.55/x
  3. Step 3: Cross multiply
    1,195.31x = 1,790.77 × 761.55
  4. Step 4: Simplify right side
    1,195.31x = 1,363,757.09
  5. Step 5: Solve for x
    x = 1,363,757.09/1,195.31
  6. Step 6: Final answer
    x = 1,140.92

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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.