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Finding the Fourth Proportional to 1,163.85, 1,742.31 and 751.79

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Solution

The fourth proportional to 1,163.85, 1,742.31 and 751.79 is: 1,125.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.85 : 1,742.31 = 751.79 : x
  2. Step 2: Convert to fraction form
    1,163.85/1,742.31 = 751.79/x
  3. Step 3: Cross multiply
    1,163.85x = 1,742.31 × 751.79
  4. Step 4: Simplify right side
    1,163.85x = 1,309,842.52
  5. Step 5: Solve for x
    x = 1,309,842.52/1,163.85
  6. Step 6: Final answer
    x = 1,125.44

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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.