Home / 1,161.78-1,743.48-512.96

Finding the Fourth Proportional to 1,161.78, 1,743.48 and 512.96

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Solution

The fourth proportional to 1,161.78, 1,743.48 and 512.96 is: 769.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.78 : 1,743.48 = 512.96 : x
  2. Step 2: Convert to fraction form
    1,161.78/1,743.48 = 512.96/x
  3. Step 3: Cross multiply
    1,161.78x = 1,743.48 × 512.96
  4. Step 4: Simplify right side
    1,161.78x = 894,335.50
  5. Step 5: Solve for x
    x = 894,335.50/1,161.78
  6. Step 6: Final answer
    x = 769.80

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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.