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Finding the Fourth Proportional to 1,100.68, 1,651.41 and 484.31

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Solution

The fourth proportional to 1,100.68, 1,651.41 and 484.31 is: 726.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.68 : 1,651.41 = 484.31 : x
  2. Step 2: Convert to fraction form
    1,100.68/1,651.41 = 484.31/x
  3. Step 3: Cross multiply
    1,100.68x = 1,651.41 × 484.31
  4. Step 4: Simplify right side
    1,100.68x = 799,799.87
  5. Step 5: Solve for x
    x = 799,799.87/1,100.68
  6. Step 6: Final answer
    x = 726.64

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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.