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Finding the Fourth Proportional to 1,099.75, 1,649.02 and 483.14

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Solution

The fourth proportional to 1,099.75, 1,649.02 and 483.14 is: 724.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.75 : 1,649.02 = 483.14 : x
  2. Step 2: Convert to fraction form
    1,099.75/1,649.02 = 483.14/x
  3. Step 3: Cross multiply
    1,099.75x = 1,649.02 × 483.14
  4. Step 4: Simplify right side
    1,099.75x = 796,707.52
  5. Step 5: Solve for x
    x = 796,707.52/1,099.75
  6. Step 6: Final answer
    x = 724.44

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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.