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Finding the Fourth Proportional to 1,163.23, 1,605.25 and 632.11

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Solution

The fourth proportional to 1,163.23, 1,605.25 and 632.11 is: 872.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.23 : 1,605.25 = 632.11 : x
  2. Step 2: Convert to fraction form
    1,163.23/1,605.25 = 632.11/x
  3. Step 3: Cross multiply
    1,163.23x = 1,605.25 × 632.11
  4. Step 4: Simplify right side
    1,163.23x = 1,014,694.58
  5. Step 5: Solve for x
    x = 1,014,694.58/1,163.23
  6. Step 6: Final answer
    x = 872.31

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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.