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Finding the Fourth Proportional to 1,846.80, 2,769.72 and 613.84

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Solution

The fourth proportional to 1,846.80, 2,769.72 and 613.84 is: 920.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.80 : 2,769.72 = 613.84 : x
  2. Step 2: Convert to fraction form
    1,846.80/2,769.72 = 613.84/x
  3. Step 3: Cross multiply
    1,846.80x = 2,769.72 × 613.84
  4. Step 4: Simplify right side
    1,846.80x = 1,700,164.92
  5. Step 5: Solve for x
    x = 1,700,164.92/1,846.80
  6. Step 6: Final answer
    x = 920.60

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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.