Home / 1,687.24-2,529.13-646.96

Finding the Fourth Proportional to 1,687.24, 2,529.13 and 646.96

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Solution

The fourth proportional to 1,687.24, 2,529.13 and 646.96 is: 969.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.24 : 2,529.13 = 646.96 : x
  2. Step 2: Convert to fraction form
    1,687.24/2,529.13 = 646.96/x
  3. Step 3: Cross multiply
    1,687.24x = 2,529.13 × 646.96
  4. Step 4: Simplify right side
    1,687.24x = 1,636,245.94
  5. Step 5: Solve for x
    x = 1,636,245.94/1,687.24
  6. Step 6: Final answer
    x = 969.78

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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.