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Finding the Fourth Proportional to 1,173.88, 1,761.42 and 443.92

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Solution

The fourth proportional to 1,173.88, 1,761.42 and 443.92 is: 666.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.88 : 1,761.42 = 443.92 : x
  2. Step 2: Convert to fraction form
    1,173.88/1,761.42 = 443.92/x
  3. Step 3: Cross multiply
    1,173.88x = 1,761.42 × 443.92
  4. Step 4: Simplify right side
    1,173.88x = 781,929.57
  5. Step 5: Solve for x
    x = 781,929.57/1,173.88
  6. Step 6: Final answer
    x = 666.11

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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.