Home / 1,116.90-1,540.67-723.92

Finding the Fourth Proportional to 1,116.90, 1,540.67 and 723.92

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Solution

The fourth proportional to 1,116.90, 1,540.67 and 723.92 is: 998.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.90 : 1,540.67 = 723.92 : x
  2. Step 2: Convert to fraction form
    1,116.90/1,540.67 = 723.92/x
  3. Step 3: Cross multiply
    1,116.90x = 1,540.67 × 723.92
  4. Step 4: Simplify right side
    1,116.90x = 1,115,310.50
  5. Step 5: Solve for x
    x = 1,115,310.50/1,116.90
  6. Step 6: Final answer
    x = 998.58

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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.