Home / 1,244.45-1,865.79-513.42

Finding the Fourth Proportional to 1,244.45, 1,865.79 and 513.42

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Solution

The fourth proportional to 1,244.45, 1,865.79 and 513.42 is: 769.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.45 : 1,865.79 = 513.42 : x
  2. Step 2: Convert to fraction form
    1,244.45/1,865.79 = 513.42/x
  3. Step 3: Cross multiply
    1,244.45x = 1,865.79 × 513.42
  4. Step 4: Simplify right side
    1,244.45x = 957,933.90
  5. Step 5: Solve for x
    x = 957,933.90/1,244.45
  6. Step 6: Final answer
    x = 769.77

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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.