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Finding the Fourth Proportional to 1,100.66, 1,649.46 and 483.44

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Solution

The fourth proportional to 1,100.66, 1,649.46 and 483.44 is: 724.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.66 : 1,649.46 = 483.44 : x
  2. Step 2: Convert to fraction form
    1,100.66/1,649.46 = 483.44/x
  3. Step 3: Cross multiply
    1,100.66x = 1,649.46 × 483.44
  4. Step 4: Simplify right side
    1,100.66x = 797,414.94
  5. Step 5: Solve for x
    x = 797,414.94/1,100.66
  6. Step 6: Final answer
    x = 724.49

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Double scale
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1.5x scale

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.