Home / 1,664.67-2,496.57-494.39

Finding the Fourth Proportional to 1,664.67, 2,496.57 and 494.39

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Solution

The fourth proportional to 1,664.67, 2,496.57 and 494.39 is: 741.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.67 : 2,496.57 = 494.39 : x
  2. Step 2: Convert to fraction form
    1,664.67/2,496.57 = 494.39/x
  3. Step 3: Cross multiply
    1,664.67x = 2,496.57 × 494.39
  4. Step 4: Simplify right side
    1,664.67x = 1,234,286.41
  5. Step 5: Solve for x
    x = 1,234,286.41/1,664.67
  6. Step 6: Final answer
    x = 741.46

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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.