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Finding the Fourth Proportional to 1,199.66, 1,795.34 and 1,097.12

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Solution

The fourth proportional to 1,199.66, 1,795.34 and 1,097.12 is: 1,641.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.66 : 1,795.34 = 1,097.12 : x
  2. Step 2: Convert to fraction form
    1,199.66/1,795.34 = 1,097.12/x
  3. Step 3: Cross multiply
    1,199.66x = 1,795.34 × 1,097.12
  4. Step 4: Simplify right side
    1,199.66x = 1,969,703.42
  5. Step 5: Solve for x
    x = 1,969,703.42/1,199.66
  6. Step 6: Final answer
    x = 1,641.88

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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.