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Finding the Fourth Proportional to 1,172.03, 1,757.61 and 441.41

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Solution

The fourth proportional to 1,172.03, 1,757.61 and 441.41 is: 661.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.03 : 1,757.61 = 441.41 : x
  2. Step 2: Convert to fraction form
    1,172.03/1,757.61 = 441.41/x
  3. Step 3: Cross multiply
    1,172.03x = 1,757.61 × 441.41
  4. Step 4: Simplify right side
    1,172.03x = 775,826.63
  5. Step 5: Solve for x
    x = 775,826.63/1,172.03
  6. Step 6: Final answer
    x = 661.95

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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.