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Finding the Fourth Proportional to 1,099.44, 1,648.26 and 689.58

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Solution

The fourth proportional to 1,099.44, 1,648.26 and 689.58 is: 1,033.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.44 : 1,648.26 = 689.58 : x
  2. Step 2: Convert to fraction form
    1,099.44/1,648.26 = 689.58/x
  3. Step 3: Cross multiply
    1,099.44x = 1,648.26 × 689.58
  4. Step 4: Simplify right side
    1,099.44x = 1,136,607.13
  5. Step 5: Solve for x
    x = 1,136,607.13/1,099.44
  6. Step 6: Final answer
    x = 1,033.81

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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.