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Finding the Fourth Proportional to 1,104.82, 1,655.66 and 872.68

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Solution

The fourth proportional to 1,104.82, 1,655.66 and 872.68 is: 1,307.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.82 : 1,655.66 = 872.68 : x
  2. Step 2: Convert to fraction form
    1,104.82/1,655.66 = 872.68/x
  3. Step 3: Cross multiply
    1,104.82x = 1,655.66 × 872.68
  4. Step 4: Simplify right side
    1,104.82x = 1,444,861.37
  5. Step 5: Solve for x
    x = 1,444,861.37/1,104.82
  6. Step 6: Final answer
    x = 1,307.78

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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.