Home / 1,412.28-2,118.42-438.42

Finding the Fourth Proportional to 1,412.28, 2,118.42 and 438.42

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Solution

The fourth proportional to 1,412.28, 2,118.42 and 438.42 is: 657.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.28 : 2,118.42 = 438.42 : x
  2. Step 2: Convert to fraction form
    1,412.28/2,118.42 = 438.42/x
  3. Step 3: Cross multiply
    1,412.28x = 2,118.42 × 438.42
  4. Step 4: Simplify right side
    1,412.28x = 928,757.70
  5. Step 5: Solve for x
    x = 928,757.70/1,412.28
  6. Step 6: Final answer
    x = 657.63

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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.