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Finding the Fourth Proportional to 1,205.33, 1,814.39 and 861.05

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Solution

The fourth proportional to 1,205.33, 1,814.39 and 861.05 is: 1,296.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.33 : 1,814.39 = 861.05 : x
  2. Step 2: Convert to fraction form
    1,205.33/1,814.39 = 861.05/x
  3. Step 3: Cross multiply
    1,205.33x = 1,814.39 × 861.05
  4. Step 4: Simplify right side
    1,205.33x = 1,562,267.13
  5. Step 5: Solve for x
    x = 1,562,267.13/1,205.33
  6. Step 6: Final answer
    x = 1,296.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.