Home / 1,244.34-1,865.43-513.41

Finding the Fourth Proportional to 1,244.34, 1,865.43 and 513.41

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Solution

The fourth proportional to 1,244.34, 1,865.43 and 513.41 is: 769.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.34 : 1,865.43 = 513.41 : x
  2. Step 2: Convert to fraction form
    1,244.34/1,865.43 = 513.41/x
  3. Step 3: Cross multiply
    1,244.34x = 1,865.43 × 513.41
  4. Step 4: Simplify right side
    1,244.34x = 957,730.42
  5. Step 5: Solve for x
    x = 957,730.42/1,244.34
  6. Step 6: Final answer
    x = 769.67

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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.