Home / 2,412.58-3,618.80-769.23

Finding the Fourth Proportional to 2,412.58, 3,618.80 and 769.23

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Solution

The fourth proportional to 2,412.58, 3,618.80 and 769.23 is: 1,153.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.58 : 3,618.80 = 769.23 : x
  2. Step 2: Convert to fraction form
    2,412.58/3,618.80 = 769.23/x
  3. Step 3: Cross multiply
    2,412.58x = 3,618.80 × 769.23
  4. Step 4: Simplify right side
    2,412.58x = 2,783,671.43
  5. Step 5: Solve for x
    x = 2,783,671.43/2,412.58
  6. Step 6: Final answer
    x = 1,153.82

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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.