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Finding the Fourth Proportional to 774.46, 1,163.20 and 601.47

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Solution

The fourth proportional to 774.46, 1,163.20 and 601.47 is: 903.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.46 : 1,163.20 = 601.47 : x
  2. Step 2: Convert to fraction form
    774.46/1,163.20 = 601.47/x
  3. Step 3: Cross multiply
    774.46x = 1,163.20 × 601.47
  4. Step 4: Simplify right side
    774.46x = 699,629.90
  5. Step 5: Solve for x
    x = 699,629.90/774.46
  6. Step 6: Final answer
    x = 903.38

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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.