Home / 1,432.28-2,148.42-406.28

Finding the Fourth Proportional to 1,432.28, 2,148.42 and 406.28

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Solution

The fourth proportional to 1,432.28, 2,148.42 and 406.28 is: 609.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.28 : 2,148.42 = 406.28 : x
  2. Step 2: Convert to fraction form
    1,432.28/2,148.42 = 406.28/x
  3. Step 3: Cross multiply
    1,432.28x = 2,148.42 × 406.28
  4. Step 4: Simplify right side
    1,432.28x = 872,860.08
  5. Step 5: Solve for x
    x = 872,860.08/1,432.28
  6. Step 6: Final answer
    x = 609.42

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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.