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Finding the Fourth Proportional to 1,103.09, 1,652.21 and 811.10

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Solution

The fourth proportional to 1,103.09, 1,652.21 and 811.10 is: 1,214.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.09 : 1,652.21 = 811.10 : x
  2. Step 2: Convert to fraction form
    1,103.09/1,652.21 = 811.10/x
  3. Step 3: Cross multiply
    1,103.09x = 1,652.21 × 811.10
  4. Step 4: Simplify right side
    1,103.09x = 1,340,095.21
  5. Step 5: Solve for x
    x = 1,340,095.21/1,103.09
  6. Step 6: Final answer
    x = 1,214.86

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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.