Home / 1,664.90-2,497.37-494.88

Finding the Fourth Proportional to 1,664.90, 2,497.37 and 494.88

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Solution

The fourth proportional to 1,664.90, 2,497.37 and 494.88 is: 742.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.90 : 2,497.37 = 494.88 : x
  2. Step 2: Convert to fraction form
    1,664.90/2,497.37 = 494.88/x
  3. Step 3: Cross multiply
    1,664.90x = 2,497.37 × 494.88
  4. Step 4: Simplify right side
    1,664.90x = 1,235,885.98
  5. Step 5: Solve for x
    x = 1,235,885.98/1,664.90
  6. Step 6: Final answer
    x = 742.32

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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.