Home / 1,243.21-1,865.67-512.78

Finding the Fourth Proportional to 1,243.21, 1,865.67 and 512.78

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Solution

The fourth proportional to 1,243.21, 1,865.67 and 512.78 is: 769.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.21 : 1,865.67 = 512.78 : x
  2. Step 2: Convert to fraction form
    1,243.21/1,865.67 = 512.78/x
  3. Step 3: Cross multiply
    1,243.21x = 1,865.67 × 512.78
  4. Step 4: Simplify right side
    1,243.21x = 956,678.26
  5. Step 5: Solve for x
    x = 956,678.26/1,243.21
  6. Step 6: Final answer
    x = 769.52

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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.