Home / 1,457.10-2,185.92-677.34

Finding the Fourth Proportional to 1,457.10, 2,185.92 and 677.34

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Solution

The fourth proportional to 1,457.10, 2,185.92 and 677.34 is: 1,016.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.10 : 2,185.92 = 677.34 : x
  2. Step 2: Convert to fraction form
    1,457.10/2,185.92 = 677.34/x
  3. Step 3: Cross multiply
    1,457.10x = 2,185.92 × 677.34
  4. Step 4: Simplify right side
    1,457.10x = 1,480,611.05
  5. Step 5: Solve for x
    x = 1,480,611.05/1,457.10
  6. Step 6: Final answer
    x = 1,016.14

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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.