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Finding the Fourth Proportional to 1,099.52, 1,646.04 and 809

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Solution

The fourth proportional to 1,099.52, 1,646.04 and 809 is: 1,211.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.52 : 1,646.04 = 809 : x
  2. Step 2: Convert to fraction form
    1,099.52/1,646.04 = 809/x
  3. Step 3: Cross multiply
    1,099.52x = 1,646.04 × 809
  4. Step 4: Simplify right side
    1,099.52x = 1,331,646.36
  5. Step 5: Solve for x
    x = 1,331,646.36/1,099.52
  6. Step 6: Final answer
    x = 1,211.12

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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.