Home / 1,524.04-2,286.06-428.41

Finding the Fourth Proportional to 1,524.04, 2,286.06 and 428.41

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Solution

The fourth proportional to 1,524.04, 2,286.06 and 428.41 is: 642.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.04 : 2,286.06 = 428.41 : x
  2. Step 2: Convert to fraction form
    1,524.04/2,286.06 = 428.41/x
  3. Step 3: Cross multiply
    1,524.04x = 2,286.06 × 428.41
  4. Step 4: Simplify right side
    1,524.04x = 979,370.96
  5. Step 5: Solve for x
    x = 979,370.96/1,524.04
  6. Step 6: Final answer
    x = 642.62

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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.