Home / 1,201.10-1,657.26-809.27

Finding the Fourth Proportional to 1,201.10, 1,657.26 and 809.27

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Solution

The fourth proportional to 1,201.10, 1,657.26 and 809.27 is: 1,116.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.10 : 1,657.26 = 809.27 : x
  2. Step 2: Convert to fraction form
    1,201.10/1,657.26 = 809.27/x
  3. Step 3: Cross multiply
    1,201.10x = 1,657.26 × 809.27
  4. Step 4: Simplify right side
    1,201.10x = 1,341,170.80
  5. Step 5: Solve for x
    x = 1,341,170.80/1,201.10
  6. Step 6: Final answer
    x = 1,116.62

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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.