Home / 1,524.29-2,286.18-428.67

Finding the Fourth Proportional to 1,524.29, 2,286.18 and 428.67

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Solution

The fourth proportional to 1,524.29, 2,286.18 and 428.67 is: 642.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.29 : 2,286.18 = 428.67 : x
  2. Step 2: Convert to fraction form
    1,524.29/2,286.18 = 428.67/x
  3. Step 3: Cross multiply
    1,524.29x = 2,286.18 × 428.67
  4. Step 4: Simplify right side
    1,524.29x = 980,016.78
  5. Step 5: Solve for x
    x = 980,016.78/1,524.29
  6. Step 6: Final answer
    x = 642.94

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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.