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Finding the Fourth Proportional to 1,163.45, 1,605.56 and 632.33

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Solution

The fourth proportional to 1,163.45, 1,605.56 and 632.33 is: 872.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.45 : 1,605.56 = 632.33 : x
  2. Step 2: Convert to fraction form
    1,163.45/1,605.56 = 632.33/x
  3. Step 3: Cross multiply
    1,163.45x = 1,605.56 × 632.33
  4. Step 4: Simplify right side
    1,163.45x = 1,015,232.57
  5. Step 5: Solve for x
    x = 1,015,232.57/1,163.45
  6. Step 6: Final answer
    x = 872.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.