Home / 1,243.91-1,865.78-513.49

Finding the Fourth Proportional to 1,243.91, 1,865.78 and 513.49

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Solution

The fourth proportional to 1,243.91, 1,865.78 and 513.49 is: 770.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.91 : 1,865.78 = 513.49 : x
  2. Step 2: Convert to fraction form
    1,243.91/1,865.78 = 513.49/x
  3. Step 3: Cross multiply
    1,243.91x = 1,865.78 × 513.49
  4. Step 4: Simplify right side
    1,243.91x = 958,060.45
  5. Step 5: Solve for x
    x = 958,060.45/1,243.91
  6. Step 6: Final answer
    x = 770.20

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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.