Home / 1,116.34-1,539.24-905.85

Finding the Fourth Proportional to 1,116.34, 1,539.24 and 905.85

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Solution

The fourth proportional to 1,116.34, 1,539.24 and 905.85 is: 1,249.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.34 : 1,539.24 = 905.85 : x
  2. Step 2: Convert to fraction form
    1,116.34/1,539.24 = 905.85/x
  3. Step 3: Cross multiply
    1,116.34x = 1,539.24 × 905.85
  4. Step 4: Simplify right side
    1,116.34x = 1,394,322.93
  5. Step 5: Solve for x
    x = 1,394,322.93/1,116.34
  6. Step 6: Final answer
    x = 1,249.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.