Home / 1,664.35-2,497.01-494.35

Finding the Fourth Proportional to 1,664.35, 2,497.01 and 494.35

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Solution

The fourth proportional to 1,664.35, 2,497.01 and 494.35 is: 741.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.35 : 2,497.01 = 494.35 : x
  2. Step 2: Convert to fraction form
    1,664.35/2,497.01 = 494.35/x
  3. Step 3: Cross multiply
    1,664.35x = 2,497.01 × 494.35
  4. Step 4: Simplify right side
    1,664.35x = 1,234,388.18
  5. Step 5: Solve for x
    x = 1,234,388.18/1,664.35
  6. Step 6: Final answer
    x = 741.66

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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.