Home / 1,243.23-1,865.24-513.15

Finding the Fourth Proportional to 1,243.23, 1,865.24 and 513.15

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Solution

The fourth proportional to 1,243.23, 1,865.24 and 513.15 is: 769.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.23 : 1,865.24 = 513.15 : x
  2. Step 2: Convert to fraction form
    1,243.23/1,865.24 = 513.15/x
  3. Step 3: Cross multiply
    1,243.23x = 1,865.24 × 513.15
  4. Step 4: Simplify right side
    1,243.23x = 957,145.34
  5. Step 5: Solve for x
    x = 957,145.34/1,243.23
  6. Step 6: Final answer
    x = 769.89

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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.