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Finding the Fourth Proportional to 1,403.54, 2,105.32 and 633.14

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Solution

The fourth proportional to 1,403.54, 2,105.32 and 633.14 is: 949.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.54 : 2,105.32 = 633.14 : x
  2. Step 2: Convert to fraction form
    1,403.54/2,105.32 = 633.14/x
  3. Step 3: Cross multiply
    1,403.54x = 2,105.32 × 633.14
  4. Step 4: Simplify right side
    1,403.54x = 1,332,959.14
  5. Step 5: Solve for x
    x = 1,332,959.14/1,403.54
  6. Step 6: Final answer
    x = 949.71

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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.