Home / 1,687.18-2,529.78-809.19

Finding the Fourth Proportional to 1,687.18, 2,529.78 and 809.19

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Solution

The fourth proportional to 1,687.18, 2,529.78 and 809.19 is: 1,213.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.18 : 2,529.78 = 809.19 : x
  2. Step 2: Convert to fraction form
    1,687.18/2,529.78 = 809.19/x
  3. Step 3: Cross multiply
    1,687.18x = 2,529.78 × 809.19
  4. Step 4: Simplify right side
    1,687.18x = 2,047,074.20
  5. Step 5: Solve for x
    x = 2,047,074.20/1,687.18
  6. Step 6: Final answer
    x = 1,213.31

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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.