Home / 1,282.28-1,922.94-460.34

Finding the Fourth Proportional to 1,282.28, 1,922.94 and 460.34

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Solution

The fourth proportional to 1,282.28, 1,922.94 and 460.34 is: 690.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.28 : 1,922.94 = 460.34 : x
  2. Step 2: Convert to fraction form
    1,282.28/1,922.94 = 460.34/x
  3. Step 3: Cross multiply
    1,282.28x = 1,922.94 × 460.34
  4. Step 4: Simplify right side
    1,282.28x = 885,206.20
  5. Step 5: Solve for x
    x = 885,206.20/1,282.28
  6. Step 6: Final answer
    x = 690.34

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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.