Home / 1,688.97-2,529.72-821.46

Finding the Fourth Proportional to 1,688.97, 2,529.72 and 821.46

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Solution

The fourth proportional to 1,688.97, 2,529.72 and 821.46 is: 1,230.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.97 : 2,529.72 = 821.46 : x
  2. Step 2: Convert to fraction form
    1,688.97/2,529.72 = 821.46/x
  3. Step 3: Cross multiply
    1,688.97x = 2,529.72 × 821.46
  4. Step 4: Simplify right side
    1,688.97x = 2,078,063.79
  5. Step 5: Solve for x
    x = 2,078,063.79/1,688.97
  6. Step 6: Final answer
    x = 1,230.37

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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.