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Finding the Fourth Proportional to 1,099.36, 1,649.28 and 689.02

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Solution

The fourth proportional to 1,099.36, 1,649.28 and 689.02 is: 1,033.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.36 : 1,649.28 = 689.02 : x
  2. Step 2: Convert to fraction form
    1,099.36/1,649.28 = 689.02/x
  3. Step 3: Cross multiply
    1,099.36x = 1,649.28 × 689.02
  4. Step 4: Simplify right side
    1,099.36x = 1,136,386.91
  5. Step 5: Solve for x
    x = 1,136,386.91/1,099.36
  6. Step 6: Final answer
    x = 1,033.68

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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.