Home / 1,432.38-2,148.56-406.38

Finding the Fourth Proportional to 1,432.38, 2,148.56 and 406.38

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Solution

The fourth proportional to 1,432.38, 2,148.56 and 406.38 is: 609.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.38 : 2,148.56 = 406.38 : x
  2. Step 2: Convert to fraction form
    1,432.38/2,148.56 = 406.38/x
  3. Step 3: Cross multiply
    1,432.38x = 2,148.56 × 406.38
  4. Step 4: Simplify right side
    1,432.38x = 873,122.09
  5. Step 5: Solve for x
    x = 873,122.09/1,432.38
  6. Step 6: Final answer
    x = 609.56

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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.