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Finding the Fourth Proportional to 1,100, 1,649.08 and 451.20

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Solution

The fourth proportional to 1,100, 1,649.08 and 451.20 is: 676.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100 : 1,649.08 = 451.20 : x
  2. Step 2: Convert to fraction form
    1,100/1,649.08 = 451.20/x
  3. Step 3: Cross multiply
    1,100x = 1,649.08 × 451.20
  4. Step 4: Simplify right side
    1,100x = 744,064.90
  5. Step 5: Solve for x
    x = 744,064.90/1,100
  6. Step 6: Final answer
    x = 676.42

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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.