Home / 1,412.38-2,118.71-438.22

Finding the Fourth Proportional to 1,412.38, 2,118.71 and 438.22

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Solution

The fourth proportional to 1,412.38, 2,118.71 and 438.22 is: 657.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.38 : 2,118.71 = 438.22 : x
  2. Step 2: Convert to fraction form
    1,412.38/2,118.71 = 438.22/x
  3. Step 3: Cross multiply
    1,412.38x = 2,118.71 × 438.22
  4. Step 4: Simplify right side
    1,412.38x = 928,461.10
  5. Step 5: Solve for x
    x = 928,461.10/1,412.38
  6. Step 6: Final answer
    x = 657.37

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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.