Home / 2,231.74-3,345.36-769.78

Finding the Fourth Proportional to 2,231.74, 3,345.36 and 769.78

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Solution

The fourth proportional to 2,231.74, 3,345.36 and 769.78 is: 1,153.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.74 : 3,345.36 = 769.78 : x
  2. Step 2: Convert to fraction form
    2,231.74/3,345.36 = 769.78/x
  3. Step 3: Cross multiply
    2,231.74x = 3,345.36 × 769.78
  4. Step 4: Simplify right side
    2,231.74x = 2,575,191.22
  5. Step 5: Solve for x
    x = 2,575,191.22/2,231.74
  6. Step 6: Final answer
    x = 1,153.89

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1.5x scale

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.