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Finding the Fourth Proportional to 1,630.32, 2,247.50 and 1,163.76

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Solution

The fourth proportional to 1,630.32, 2,247.50 and 1,163.76 is: 1,604.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.32 : 2,247.50 = 1,163.76 : x
  2. Step 2: Convert to fraction form
    1,630.32/2,247.50 = 1,163.76/x
  3. Step 3: Cross multiply
    1,630.32x = 2,247.50 × 1,163.76
  4. Step 4: Simplify right side
    1,630.32x = 2,615,550.60
  5. Step 5: Solve for x
    x = 2,615,550.60/1,630.32
  6. Step 6: Final answer
    x = 1,604.32

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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.