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Finding the Fourth Proportional to 1,169.15, 1,754.93 and 861.35

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Solution

The fourth proportional to 1,169.15, 1,754.93 and 861.35 is: 1,292.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.15 : 1,754.93 = 861.35 : x
  2. Step 2: Convert to fraction form
    1,169.15/1,754.93 = 861.35/x
  3. Step 3: Cross multiply
    1,169.15x = 1,754.93 × 861.35
  4. Step 4: Simplify right side
    1,169.15x = 1,511,602.33
  5. Step 5: Solve for x
    x = 1,511,602.33/1,169.15
  6. Step 6: Final answer
    x = 1,292.91

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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.