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Finding the Fourth Proportional to 1,105.44, 1,656.81 and 861.63

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Solution

The fourth proportional to 1,105.44, 1,656.81 and 861.63 is: 1,291.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.44 : 1,656.81 = 861.63 : x
  2. Step 2: Convert to fraction form
    1,105.44/1,656.81 = 861.63/x
  3. Step 3: Cross multiply
    1,105.44x = 1,656.81 × 861.63
  4. Step 4: Simplify right side
    1,105.44x = 1,427,557.20
  5. Step 5: Solve for x
    x = 1,427,557.20/1,105.44
  6. Step 6: Final answer
    x = 1,291.39

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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.