Home / 1,412.20-2,118.06-438.16

Finding the Fourth Proportional to 1,412.20, 2,118.06 and 438.16

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Solution

The fourth proportional to 1,412.20, 2,118.06 and 438.16 is: 657.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.20 : 2,118.06 = 438.16 : x
  2. Step 2: Convert to fraction form
    1,412.20/2,118.06 = 438.16/x
  3. Step 3: Cross multiply
    1,412.20x = 2,118.06 × 438.16
  4. Step 4: Simplify right side
    1,412.20x = 928,049.17
  5. Step 5: Solve for x
    x = 928,049.17/1,412.20
  6. Step 6: Final answer
    x = 657.17

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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.