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Finding the Fourth Proportional to 1,100.49, 1,650.98 and 451.22

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Solution

The fourth proportional to 1,100.49, 1,650.98 and 451.22 is: 676.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.49 : 1,650.98 = 451.22 : x
  2. Step 2: Convert to fraction form
    1,100.49/1,650.98 = 451.22/x
  3. Step 3: Cross multiply
    1,100.49x = 1,650.98 × 451.22
  4. Step 4: Simplify right side
    1,100.49x = 744,957.36
  5. Step 5: Solve for x
    x = 744,957.36/1,100.49
  6. Step 6: Final answer
    x = 676.93

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Double scale
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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.