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Finding the Fourth Proportional to 1,320.52, 1,819.25 and 1,099.08

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Solution

The fourth proportional to 1,320.52, 1,819.25 and 1,099.08 is: 1,514.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.52 : 1,819.25 = 1,099.08 : x
  2. Step 2: Convert to fraction form
    1,320.52/1,819.25 = 1,099.08/x
  3. Step 3: Cross multiply
    1,320.52x = 1,819.25 × 1,099.08
  4. Step 4: Simplify right side
    1,320.52x = 1,999,505.84
  5. Step 5: Solve for x
    x = 1,999,505.84/1,320.52
  6. Step 6: Final answer
    x = 1,514.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.