Home / 1,438.20-2,156.88-412.20

Finding the Fourth Proportional to 1,438.20, 2,156.88 and 412.20

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Solution

The fourth proportional to 1,438.20, 2,156.88 and 412.20 is: 618.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.20 : 2,156.88 = 412.20 : x
  2. Step 2: Convert to fraction form
    1,438.20/2,156.88 = 412.20/x
  3. Step 3: Cross multiply
    1,438.20x = 2,156.88 × 412.20
  4. Step 4: Simplify right side
    1,438.20x = 889,065.94
  5. Step 5: Solve for x
    x = 889,065.94/1,438.20
  6. Step 6: Final answer
    x = 618.18

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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.