Home / 1,664.07-2,496.51-494.16

Finding the Fourth Proportional to 1,664.07, 2,496.51 and 494.16

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Solution

The fourth proportional to 1,664.07, 2,496.51 and 494.16 is: 741.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.07 : 2,496.51 = 494.16 : x
  2. Step 2: Convert to fraction form
    1,664.07/2,496.51 = 494.16/x
  3. Step 3: Cross multiply
    1,664.07x = 2,496.51 × 494.16
  4. Step 4: Simplify right side
    1,664.07x = 1,233,675.38
  5. Step 5: Solve for x
    x = 1,233,675.38/1,664.07
  6. Step 6: Final answer
    x = 741.36

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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.