Home / 1,116.61-1,674.29-827.44

Finding the Fourth Proportional to 1,116.61, 1,674.29 and 827.44

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Solution

The fourth proportional to 1,116.61, 1,674.29 and 827.44 is: 1,240.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.61 : 1,674.29 = 827.44 : x
  2. Step 2: Convert to fraction form
    1,116.61/1,674.29 = 827.44/x
  3. Step 3: Cross multiply
    1,116.61x = 1,674.29 × 827.44
  4. Step 4: Simplify right side
    1,116.61x = 1,385,372.40
  5. Step 5: Solve for x
    x = 1,385,372.40/1,116.61
  6. Step 6: Final answer
    x = 1,240.70

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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.