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Finding the Fourth Proportional to 1,163.44, 1,748.64 and 774.76

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Solution

The fourth proportional to 1,163.44, 1,748.64 and 774.76 is: 1,164.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.44 : 1,748.64 = 774.76 : x
  2. Step 2: Convert to fraction form
    1,163.44/1,748.64 = 774.76/x
  3. Step 3: Cross multiply
    1,163.44x = 1,748.64 × 774.76
  4. Step 4: Simplify right side
    1,163.44x = 1,354,776.33
  5. Step 5: Solve for x
    x = 1,354,776.33/1,163.44
  6. Step 6: Final answer
    x = 1,164.46

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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.