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Finding the Fourth Proportional to 1,100.50, 1,650.96 and 451.24

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Solution

The fourth proportional to 1,100.50, 1,650.96 and 451.24 is: 676.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.50 : 1,650.96 = 451.24 : x
  2. Step 2: Convert to fraction form
    1,100.50/1,650.96 = 451.24/x
  3. Step 3: Cross multiply
    1,100.50x = 1,650.96 × 451.24
  4. Step 4: Simplify right side
    1,100.50x = 744,979.19
  5. Step 5: Solve for x
    x = 744,979.19/1,100.50
  6. Step 6: Final answer
    x = 676.95

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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.