Home / 1,524.48-2,286.70-428.79

Finding the Fourth Proportional to 1,524.48, 2,286.70 and 428.79

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Solution

The fourth proportional to 1,524.48, 2,286.70 and 428.79 is: 643.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.48 : 2,286.70 = 428.79 : x
  2. Step 2: Convert to fraction form
    1,524.48/2,286.70 = 428.79/x
  3. Step 3: Cross multiply
    1,524.48x = 2,286.70 × 428.79
  4. Step 4: Simplify right side
    1,524.48x = 980,514.09
  5. Step 5: Solve for x
    x = 980,514.09/1,524.48
  6. Step 6: Final answer
    x = 643.18

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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.